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Finding the Third Proportional to 259,707 and 391,275

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Solution

The third proportional to 259,707 and 391,275 is: 589,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,707 : 391,275 = 391,275 : x
  2. Step 2: Convert to fraction form
    259,707/391,275 = 391,275/x
  3. Step 3: Cross multiply
    259,707x = 391,275 × 391,275
  4. Step 4: Simplify right side
    259,707x = 153,096,125,625
  5. Step 5: Solve for x
    x = 153,096,125,625/259,707
  6. Step 6: Final answer
    x = 589,495.57

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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.