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Finding the Third Proportional to 72,810,981 and 156,427,654.50

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Solution

The third proportional to 72,810,981 and 156,427,654.50 is: 336,070,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,810,981 : 156,427,654.50 = 156,427,654.50 : x
  2. Step 2: Convert to fraction form
    72,810,981/156,427,654.50 = 156,427,654.50/x
  3. Step 3: Cross multiply
    72,810,981x = 156,427,654.50 × 156,427,654.50
  4. Step 4: Simplify right side
    72,810,981x = 24,469,611,092,371,372
  5. Step 5: Solve for x
    x = 24,469,611,092,371,372/72,810,981
  6. Step 6: Final answer
    x = 336,070,339.34

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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.