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Finding the Third Proportional to 389,631 and 584,460

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Solution

The third proportional to 389,631 and 584,460 is: 876,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,631 : 584,460 = 584,460 : x
  2. Step 2: Convert to fraction form
    389,631/584,460 = 584,460/x
  3. Step 3: Cross multiply
    389,631x = 584,460 × 584,460
  4. Step 4: Simplify right side
    389,631x = 341,593,491,600
  5. Step 5: Solve for x
    x = 341,593,491,600/389,631
  6. Step 6: Final answer
    x = 876,710.25

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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.