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Finding the Third Proportional to 389,646 and 585,612

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Solution

The third proportional to 389,646 and 585,612 is: 880,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,646 : 585,612 = 585,612 : x
  2. Step 2: Convert to fraction form
    389,646/585,612 = 585,612/x
  3. Step 3: Cross multiply
    389,646x = 585,612 × 585,612
  4. Step 4: Simplify right side
    389,646x = 342,941,414,544
  5. Step 5: Solve for x
    x = 342,941,414,544/389,646
  6. Step 6: Final answer
    x = 880,135.85

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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.