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Finding the Third Proportional to 457,976 and 673,712

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Solution

The third proportional to 457,976 and 673,712 is: 991,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,976 : 673,712 = 673,712 : x
  2. Step 2: Convert to fraction form
    457,976/673,712 = 673,712/x
  3. Step 3: Cross multiply
    457,976x = 673,712 × 673,712
  4. Step 4: Simplify right side
    457,976x = 453,887,858,944
  5. Step 5: Solve for x
    x = 453,887,858,944/457,976
  6. Step 6: Final answer
    x = 991,073.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.