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Finding the Third Proportional to 261,992 and 392,583

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Solution

The third proportional to 261,992 and 392,583 is: 588,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,992 : 392,583 = 392,583 : x
  2. Step 2: Convert to fraction form
    261,992/392,583 = 392,583/x
  3. Step 3: Cross multiply
    261,992x = 392,583 × 392,583
  4. Step 4: Simplify right side
    261,992x = 154,121,411,889
  5. Step 5: Solve for x
    x = 154,121,411,889/261,992
  6. Step 6: Final answer
    x = 588,267.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.