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Finding the Third Proportional to 259,719 and 391,293

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Solution

The third proportional to 259,719 and 391,293 is: 589,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,719 : 391,293 = 391,293 : x
  2. Step 2: Convert to fraction form
    259,719/391,293 = 391,293/x
  3. Step 3: Cross multiply
    259,719x = 391,293 × 391,293
  4. Step 4: Simplify right side
    259,719x = 153,110,211,849
  5. Step 5: Solve for x
    x = 153,110,211,849/259,719
  6. Step 6: Final answer
    x = 589,522.57

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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.