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Finding the Third Proportional to 389,616 and 527,976

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Solution

The third proportional to 389,616 and 527,976 is: 715,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616 : 527,976 = 527,976 : x
  2. Step 2: Convert to fraction form
    389,616/527,976 = 527,976/x
  3. Step 3: Cross multiply
    389,616x = 527,976 × 527,976
  4. Step 4: Simplify right side
    389,616x = 278,758,656,576
  5. Step 5: Solve for x
    x = 278,758,656,576/389,616
  6. Step 6: Final answer
    x = 715,470.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.