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Finding the Third Proportional to 259,634 and 392,259

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Solution

The third proportional to 259,634 and 392,259 is: 592,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,634 : 392,259 = 392,259 : x
  2. Step 2: Convert to fraction form
    259,634/392,259 = 392,259/x
  3. Step 3: Cross multiply
    259,634x = 392,259 × 392,259
  4. Step 4: Simplify right side
    259,634x = 153,867,123,081
  5. Step 5: Solve for x
    x = 153,867,123,081/259,634
  6. Step 6: Final answer
    x = 592,630.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.