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Finding the Third Proportional to 138,279 and 290,463

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Solution

The third proportional to 138,279 and 290,463 is: 610,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,279 : 290,463 = 290,463 : x
  2. Step 2: Convert to fraction form
    138,279/290,463 = 290,463/x
  3. Step 3: Cross multiply
    138,279x = 290,463 × 290,463
  4. Step 4: Simplify right side
    138,279x = 84,368,754,369
  5. Step 5: Solve for x
    x = 84,368,754,369/138,279
  6. Step 6: Final answer
    x = 610,134.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.