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Finding the Third Proportional to 178,506 and 386,400

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Solution

The third proportional to 178,506 and 386,400 is: 836,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,506 : 386,400 = 386,400 : x
  2. Step 2: Convert to fraction form
    178,506/386,400 = 386,400/x
  3. Step 3: Cross multiply
    178,506x = 386,400 × 386,400
  4. Step 4: Simplify right side
    178,506x = 149,304,960,000
  5. Step 5: Solve for x
    x = 149,304,960,000/178,506
  6. Step 6: Final answer
    x = 836,414.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.