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Finding the Third Proportional to 487,317 and 730,976

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Solution

The third proportional to 487,317 and 730,976 is: 1,096,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,317 : 730,976 = 730,976 : x
  2. Step 2: Convert to fraction form
    487,317/730,976 = 730,976/x
  3. Step 3: Cross multiply
    487,317x = 730,976 × 730,976
  4. Step 4: Simplify right side
    487,317x = 534,325,912,576
  5. Step 5: Solve for x
    x = 534,325,912,576/487,317
  6. Step 6: Final answer
    x = 1,096,464.75

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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.