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Finding the Third Proportional to 78,465,778.50 and 107,712,092

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Solution

The third proportional to 78,465,778.50 and 107,712,092 is: 147,859,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465,778.50 : 107,712,092 = 107,712,092 : x
  2. Step 2: Convert to fraction form
    78,465,778.50/107,712,092 = 107,712,092/x
  3. Step 3: Cross multiply
    78,465,778.50x = 107,712,092 × 107,712,092
  4. Step 4: Simplify right side
    78,465,778.50x = 11,601,894,763,016,464
  5. Step 5: Solve for x
    x = 11,601,894,763,016,464/78,465,778.50
  6. Step 6: Final answer
    x = 147,859,295.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.