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Finding the Third Proportional to 240,396 and 516,108

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Solution

The third proportional to 240,396 and 516,108 is: 1,108,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,396 : 516,108 = 516,108 : x
  2. Step 2: Convert to fraction form
    240,396/516,108 = 516,108/x
  3. Step 3: Cross multiply
    240,396x = 516,108 × 516,108
  4. Step 4: Simplify right side
    240,396x = 266,367,467,664
  5. Step 5: Solve for x
    x = 266,367,467,664/240,396
  6. Step 6: Final answer
    x = 1,108,036.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.