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Finding the Third Proportional to 324,239 and 517,978

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Solution

The third proportional to 324,239 and 517,978 is: 827,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,239 : 517,978 = 517,978 : x
  2. Step 2: Convert to fraction form
    324,239/517,978 = 517,978/x
  3. Step 3: Cross multiply
    324,239x = 517,978 × 517,978
  4. Step 4: Simplify right side
    324,239x = 268,301,208,484
  5. Step 5: Solve for x
    x = 268,301,208,484/324,239
  6. Step 6: Final answer
    x = 827,479.76

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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.