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Finding the Third Proportional to 78,564,942 and 170,730,108

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Solution

The third proportional to 78,564,942 and 170,730,108 is: 371,014,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564,942 : 170,730,108 = 170,730,108 : x
  2. Step 2: Convert to fraction form
    78,564,942/170,730,108 = 170,730,108/x
  3. Step 3: Cross multiply
    78,564,942x = 170,730,108 × 170,730,108
  4. Step 4: Simplify right side
    78,564,942x = 29,148,769,777,691,664
  5. Step 5: Solve for x
    x = 29,148,769,777,691,664/78,564,942
  6. Step 6: Final answer
    x = 371,014,972.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.