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Finding the Third Proportional to 380,446 and 569,479

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Solution

The third proportional to 380,446 and 569,479 is: 852,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,446 : 569,479 = 569,479 : x
  2. Step 2: Convert to fraction form
    380,446/569,479 = 569,479/x
  3. Step 3: Cross multiply
    380,446x = 569,479 × 569,479
  4. Step 4: Simplify right side
    380,446x = 324,306,331,441
  5. Step 5: Solve for x
    x = 324,306,331,441/380,446
  6. Step 6: Final answer
    x = 852,437.22

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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.