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Finding the Third Proportional to 259,688 and 391,241

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Solution

The third proportional to 259,688 and 391,241 is: 589,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,688 : 391,241 = 391,241 : x
  2. Step 2: Convert to fraction form
    259,688/391,241 = 391,241/x
  3. Step 3: Cross multiply
    259,688x = 391,241 × 391,241
  4. Step 4: Simplify right side
    259,688x = 153,069,520,081
  5. Step 5: Solve for x
    x = 153,069,520,081/259,688
  6. Step 6: Final answer
    x = 589,436.25

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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.