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Finding the Third Proportional to 78,838,425 and 169,807,599.50

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Solution

The third proportional to 78,838,425 and 169,807,599.50 is: 365,743,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838,425 : 169,807,599.50 = 169,807,599.50 : x
  2. Step 2: Convert to fraction form
    78,838,425/169,807,599.50 = 169,807,599.50/x
  3. Step 3: Cross multiply
    78,838,425x = 169,807,599.50 × 169,807,599.50
  4. Step 4: Simplify right side
    78,838,425x = 28,834,620,847,952,400
  5. Step 5: Solve for x
    x = 28,834,620,847,952,400/78,838,425
  6. Step 6: Final answer
    x = 365,743,238.12

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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.