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Finding the Third Proportional to 261,684 and 392,850

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Solution

The third proportional to 261,684 and 392,850 is: 589,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,684 : 392,850 = 392,850 : x
  2. Step 2: Convert to fraction form
    261,684/392,850 = 392,850/x
  3. Step 3: Cross multiply
    261,684x = 392,850 × 392,850
  4. Step 4: Simplify right side
    261,684x = 154,331,122,500
  5. Step 5: Solve for x
    x = 154,331,122,500/261,684
  6. Step 6: Final answer
    x = 589,761.40

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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.