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Finding the Third Proportional to 390,638 and 585,849

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Solution

The third proportional to 390,638 and 585,849 is: 878,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,638 : 585,849 = 585,849 : x
  2. Step 2: Convert to fraction form
    390,638/585,849 = 585,849/x
  3. Step 3: Cross multiply
    390,638x = 585,849 × 585,849
  4. Step 4: Simplify right side
    390,638x = 343,219,050,801
  5. Step 5: Solve for x
    x = 343,219,050,801/390,638
  6. Step 6: Final answer
    x = 878,611.53

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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.