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Finding the Third Proportional to 186,778 and 279,506

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Solution

The third proportional to 186,778 and 279,506 is: 418,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,778 : 279,506 = 279,506 : x
  2. Step 2: Convert to fraction form
    186,778/279,506 = 279,506/x
  3. Step 3: Cross multiply
    186,778x = 279,506 × 279,506
  4. Step 4: Simplify right side
    186,778x = 78,123,604,036
  5. Step 5: Solve for x
    x = 78,123,604,036/186,778
  6. Step 6: Final answer
    x = 418,269.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.