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Finding the Third Proportional to 64,719 and 131,382

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Solution

The third proportional to 64,719 and 131,382 is: 266,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,719 : 131,382 = 131,382 : x
  2. Step 2: Convert to fraction form
    64,719/131,382 = 131,382/x
  3. Step 3: Cross multiply
    64,719x = 131,382 × 131,382
  4. Step 4: Simplify right side
    64,719x = 17,261,229,924
  5. Step 5: Solve for x
    x = 17,261,229,924/64,719
  6. Step 6: Final answer
    x = 266,710.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.