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Finding the Third Proportional to 64,304 and 138,472

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Solution

The third proportional to 64,304 and 138,472 is: 298,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,304 : 138,472 = 138,472 : x
  2. Step 2: Convert to fraction form
    64,304/138,472 = 138,472/x
  3. Step 3: Cross multiply
    64,304x = 138,472 × 138,472
  4. Step 4: Simplify right side
    64,304x = 19,174,494,784
  5. Step 5: Solve for x
    x = 19,174,494,784/64,304
  6. Step 6: Final answer
    x = 298,185.10

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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.