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Finding the Third Proportional to 278,877 and 572,586

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Solution

The third proportional to 278,877 and 572,586 is: 1,175,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,877 : 572,586 = 572,586 : x
  2. Step 2: Convert to fraction form
    278,877/572,586 = 572,586/x
  3. Step 3: Cross multiply
    278,877x = 572,586 × 572,586
  4. Step 4: Simplify right side
    278,877x = 327,854,727,396
  5. Step 5: Solve for x
    x = 327,854,727,396/278,877
  6. Step 6: Final answer
    x = 1,175,624.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.