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Finding the Third Proportional to 259,713 and 390,321.75

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Solution

The third proportional to 259,713 and 390,321.75 is: 586,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,713 : 390,321.75 = 390,321.75 : x
  2. Step 2: Convert to fraction form
    259,713/390,321.75 = 390,321.75/x
  3. Step 3: Cross multiply
    259,713x = 390,321.75 × 390,321.75
  4. Step 4: Simplify right side
    259,713x = 152,351,068,523.06
  5. Step 5: Solve for x
    x = 152,351,068,523.06/259,713
  6. Step 6: Final answer
    x = 586,613.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.