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Finding the Third Proportional to 72,470 and 100,137

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Solution

The third proportional to 72,470 and 100,137 is: 138,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,470 : 100,137 = 100,137 : x
  2. Step 2: Convert to fraction form
    72,470/100,137 = 100,137/x
  3. Step 3: Cross multiply
    72,470x = 100,137 × 100,137
  4. Step 4: Simplify right side
    72,470x = 10,027,418,769
  5. Step 5: Solve for x
    x = 10,027,418,769/72,470
  6. Step 6: Final answer
    x = 138,366.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.