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Finding the Third Proportional to 178,479 and 262,781

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Solution

The third proportional to 178,479 and 262,781 is: 386,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,479 : 262,781 = 262,781 : x
  2. Step 2: Convert to fraction form
    178,479/262,781 = 262,781/x
  3. Step 3: Cross multiply
    178,479x = 262,781 × 262,781
  4. Step 4: Simplify right side
    178,479x = 69,053,853,961
  5. Step 5: Solve for x
    x = 69,053,853,961/178,479
  6. Step 6: Final answer
    x = 386,901.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.