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Finding the Third Proportional to 186,776 and 282,972

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Solution

The third proportional to 186,776 and 282,972 is: 428,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,776 : 282,972 = 282,972 : x
  2. Step 2: Convert to fraction form
    186,776/282,972 = 282,972/x
  3. Step 3: Cross multiply
    186,776x = 282,972 × 282,972
  4. Step 4: Simplify right side
    186,776x = 80,073,152,784
  5. Step 5: Solve for x
    x = 80,073,152,784/186,776
  6. Step 6: Final answer
    x = 428,712.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.