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Finding the Third Proportional to 81,304 and 127,709

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Solution

The third proportional to 81,304 and 127,709 is: 200,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,304 : 127,709 = 127,709 : x
  2. Step 2: Convert to fraction form
    81,304/127,709 = 127,709/x
  3. Step 3: Cross multiply
    81,304x = 127,709 × 127,709
  4. Step 4: Simplify right side
    81,304x = 16,309,588,681
  5. Step 5: Solve for x
    x = 16,309,588,681/81,304
  6. Step 6: Final answer
    x = 200,600.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.