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Finding the Third Proportional to 259,681 and 391,231

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Solution

The third proportional to 259,681 and 391,231 is: 589,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,681 : 391,231 = 391,231 : x
  2. Step 2: Convert to fraction form
    259,681/391,231 = 391,231/x
  3. Step 3: Cross multiply
    259,681x = 391,231 × 391,231
  4. Step 4: Simplify right side
    259,681x = 153,061,695,361
  5. Step 5: Solve for x
    x = 153,061,695,361/259,681
  6. Step 6: Final answer
    x = 589,422.00

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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.