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Finding the Third Proportional to 261,990 and 392,580

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Solution

The third proportional to 261,990 and 392,580 is: 588,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,990 : 392,580 = 392,580 : x
  2. Step 2: Convert to fraction form
    261,990/392,580 = 392,580/x
  3. Step 3: Cross multiply
    261,990x = 392,580 × 392,580
  4. Step 4: Simplify right side
    261,990x = 154,119,056,400
  5. Step 5: Solve for x
    x = 154,119,056,400/261,990
  6. Step 6: Final answer
    x = 588,263.13

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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.