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Finding the Third Proportional to 280,959 and 614,372

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Solution

The third proportional to 280,959 and 614,372 is: 1,343,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,959 : 614,372 = 614,372 : x
  2. Step 2: Convert to fraction form
    280,959/614,372 = 614,372/x
  3. Step 3: Cross multiply
    280,959x = 614,372 × 614,372
  4. Step 4: Simplify right side
    280,959x = 377,452,954,384
  5. Step 5: Solve for x
    x = 377,452,954,384/280,959
  6. Step 6: Final answer
    x = 1,343,444.97

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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.