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Finding the Third Proportional to 261,686 and 392,853

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Solution

The third proportional to 261,686 and 392,853 is: 589,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,686 : 392,853 = 392,853 : x
  2. Step 2: Convert to fraction form
    261,686/392,853 = 392,853/x
  3. Step 3: Cross multiply
    261,686x = 392,853 × 392,853
  4. Step 4: Simplify right side
    261,686x = 154,333,479,609
  5. Step 5: Solve for x
    x = 154,333,479,609/261,686
  6. Step 6: Final answer
    x = 589,765.90

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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.