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Finding the Third Proportional to 64,470 and 138,463

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Solution

The third proportional to 64,470 and 138,463 is: 297,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,470 : 138,463 = 138,463 : x
  2. Step 2: Convert to fraction form
    64,470/138,463 = 138,463/x
  3. Step 3: Cross multiply
    64,470x = 138,463 × 138,463
  4. Step 4: Simplify right side
    64,470x = 19,172,002,369
  5. Step 5: Solve for x
    x = 19,172,002,369/64,470
  6. Step 6: Final answer
    x = 297,378.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.