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Finding the Third Proportional to 240,582 and 339,000

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Solution

The third proportional to 240,582 and 339,000 is: 477,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,582 : 339,000 = 339,000 : x
  2. Step 2: Convert to fraction form
    240,582/339,000 = 339,000/x
  3. Step 3: Cross multiply
    240,582x = 339,000 × 339,000
  4. Step 4: Simplify right side
    240,582x = 114,921,000,000
  5. Step 5: Solve for x
    x = 114,921,000,000/240,582
  6. Step 6: Final answer
    x = 477,679.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.