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Finding the Third Proportional to 214,988 and 338,979

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Solution

The third proportional to 214,988 and 338,979 is: 534,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,988 : 338,979 = 338,979 : x
  2. Step 2: Convert to fraction form
    214,988/338,979 = 338,979/x
  3. Step 3: Cross multiply
    214,988x = 338,979 × 338,979
  4. Step 4: Simplify right side
    214,988x = 114,906,762,441
  5. Step 5: Solve for x
    x = 114,906,762,441/214,988
  6. Step 6: Final answer
    x = 534,479.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.