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Finding the Third Proportional to 390,549.75 and 585,825

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Solution

The third proportional to 390,549.75 and 585,825 is: 878,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,549.75 : 585,825 = 585,825 : x
  2. Step 2: Convert to fraction form
    390,549.75/585,825 = 585,825/x
  3. Step 3: Cross multiply
    390,549.75x = 585,825 × 585,825
  4. Step 4: Simplify right side
    390,549.75x = 343,190,930,625
  5. Step 5: Solve for x
    x = 343,190,930,625/390,549.75
  6. Step 6: Final answer
    x = 878,738.06

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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.