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Finding the Third Proportional to 138,712 and 209,526

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Solution

The third proportional to 138,712 and 209,526 is: 316,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712 : 209,526 = 209,526 : x
  2. Step 2: Convert to fraction form
    138,712/209,526 = 209,526/x
  3. Step 3: Cross multiply
    138,712x = 209,526 × 209,526
  4. Step 4: Simplify right side
    138,712x = 43,901,144,676
  5. Step 5: Solve for x
    x = 43,901,144,676/138,712
  6. Step 6: Final answer
    x = 316,491.33

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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.