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Finding the Third Proportional to 278,924 and 609,688

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Solution

The third proportional to 278,924 and 609,688 is: 1,332,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,924 : 609,688 = 609,688 : x
  2. Step 2: Convert to fraction form
    278,924/609,688 = 609,688/x
  3. Step 3: Cross multiply
    278,924x = 609,688 × 609,688
  4. Step 4: Simplify right side
    278,924x = 371,719,457,344
  5. Step 5: Solve for x
    x = 371,719,457,344/278,924
  6. Step 6: Final answer
    x = 1,332,690.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.