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Finding the Third Proportional to 313,853 and 402,979

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Solution

The third proportional to 313,853 and 402,979 is: 517,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,853 : 402,979 = 402,979 : x
  2. Step 2: Convert to fraction form
    313,853/402,979 = 402,979/x
  3. Step 3: Cross multiply
    313,853x = 402,979 × 402,979
  4. Step 4: Simplify right side
    313,853x = 162,392,074,441
  5. Step 5: Solve for x
    x = 162,392,074,441/313,853
  6. Step 6: Final answer
    x = 517,414.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.