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Finding the Third Proportional to 419,309 and 558,654

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Solution

The third proportional to 419,309 and 558,654 is: 744,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,309 : 558,654 = 558,654 : x
  2. Step 2: Convert to fraction form
    419,309/558,654 = 558,654/x
  3. Step 3: Cross multiply
    419,309x = 558,654 × 558,654
  4. Step 4: Simplify right side
    419,309x = 312,094,291,716
  5. Step 5: Solve for x
    x = 312,094,291,716/419,309
  6. Step 6: Final answer
    x = 744,306.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.