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Finding the Third Proportional to 162,140,129,692.50 and 348,681,791,322

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Solution

The third proportional to 162,140,129,692.50 and 348,681,791,322 is: 749,838,993,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,140,129,692.50 : 348,681,791,322 = 348,681,791,322 : x
  2. Step 2: Convert to fraction form
    162,140,129,692.50/348,681,791,322 = 348,681,791,322/x
  3. Step 3: Cross multiply
    162,140,129,692.50x = 348,681,791,322 × 348,681,791,322
  4. Step 4: Simplify right side
    162,140,129,692.50x = 121,578,991,599,518,750,867,456
  5. Step 5: Solve for x
    x = 121,578,991,599,518,750,867,456/162,140,129,692.50
  6. Step 6: Final answer
    x = 749,838,993,160.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.