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Finding the Third Proportional to 306,166 and 482,727

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Solution

The third proportional to 306,166 and 482,727 is: 761,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,166 : 482,727 = 482,727 : x
  2. Step 2: Convert to fraction form
    306,166/482,727 = 482,727/x
  3. Step 3: Cross multiply
    306,166x = 482,727 × 482,727
  4. Step 4: Simplify right side
    306,166x = 233,025,356,529
  5. Step 5: Solve for x
    x = 233,025,356,529/306,166
  6. Step 6: Final answer
    x = 761,107.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.