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Finding the Third Proportional to 72,719,031 and 109,832,649

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Solution

The third proportional to 72,719,031 and 109,832,649 is: 165,887,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,719,031 : 109,832,649 = 109,832,649 : x
  2. Step 2: Convert to fraction form
    72,719,031/109,832,649 = 109,832,649/x
  3. Step 3: Cross multiply
    72,719,031x = 109,832,649 × 109,832,649
  4. Step 4: Simplify right side
    72,719,031x = 12,063,210,786,357,200
  5. Step 5: Solve for x
    x = 12,063,210,786,357,200/72,719,031
  6. Step 6: Final answer
    x = 165,887,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.