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Finding the Third Proportional to 138,740 and 187,470

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Solution

The third proportional to 138,740 and 187,470 is: 253,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,740 : 187,470 = 187,470 : x
  2. Step 2: Convert to fraction form
    138,740/187,470 = 187,470/x
  3. Step 3: Cross multiply
    138,740x = 187,470 × 187,470
  4. Step 4: Simplify right side
    138,740x = 35,145,000,900
  5. Step 5: Solve for x
    x = 35,145,000,900/138,740
  6. Step 6: Final answer
    x = 253,315.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.