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Finding the Third Proportional to 324,239 and 517,979

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Solution

The third proportional to 324,239 and 517,979 is: 827,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,239 : 517,979 = 517,979 : x
  2. Step 2: Convert to fraction form
    324,239/517,979 = 517,979/x
  3. Step 3: Cross multiply
    324,239x = 517,979 × 517,979
  4. Step 4: Simplify right side
    324,239x = 268,302,244,441
  5. Step 5: Solve for x
    x = 268,302,244,441/324,239
  6. Step 6: Final answer
    x = 827,482.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.