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Finding the Third Proportional to 78,100,543 and 162,665,421.50

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Solution

The third proportional to 78,100,543 and 162,665,421.50 is: 338,794,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,543 : 162,665,421.50 = 162,665,421.50 : x
  2. Step 2: Convert to fraction form
    78,100,543/162,665,421.50 = 162,665,421.50/x
  3. Step 3: Cross multiply
    78,100,543x = 162,665,421.50 × 162,665,421.50
  4. Step 4: Simplify right side
    78,100,543x = 26,460,039,351,772,664
  5. Step 5: Solve for x
    x = 26,460,039,351,772,664/78,100,543
  6. Step 6: Final answer
    x = 338,794,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.