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Finding the Third Proportional to 252,086 and 390,523

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Solution

The third proportional to 252,086 and 390,523 is: 604,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,086 : 390,523 = 390,523 : x
  2. Step 2: Convert to fraction form
    252,086/390,523 = 390,523/x
  3. Step 3: Cross multiply
    252,086x = 390,523 × 390,523
  4. Step 4: Simplify right side
    252,086x = 152,508,213,529
  5. Step 5: Solve for x
    x = 152,508,213,529/252,086
  6. Step 6: Final answer
    x = 604,984.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.