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Finding the Third Proportional to 324,235 and 517,972

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Solution

The third proportional to 324,235 and 517,972 is: 827,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,235 : 517,972 = 517,972 : x
  2. Step 2: Convert to fraction form
    324,235/517,972 = 517,972/x
  3. Step 3: Cross multiply
    324,235x = 517,972 × 517,972
  4. Step 4: Simplify right side
    324,235x = 268,294,992,784
  5. Step 5: Solve for x
    x = 268,294,992,784/324,235
  6. Step 6: Final answer
    x = 827,470.79

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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.