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Finding the Third Proportional to 243,979 and 354,850

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Solution

The third proportional to 243,979 and 354,850 is: 516,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,979 : 354,850 = 354,850 : x
  2. Step 2: Convert to fraction form
    243,979/354,850 = 354,850/x
  3. Step 3: Cross multiply
    243,979x = 354,850 × 354,850
  4. Step 4: Simplify right side
    243,979x = 125,918,522,500
  5. Step 5: Solve for x
    x = 125,918,522,500/243,979
  6. Step 6: Final answer
    x = 516,103.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.