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Finding the Third Proportional to 457,515 and 660,026

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Solution

The third proportional to 457,515 and 660,026 is: 952,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,515 : 660,026 = 660,026 : x
  2. Step 2: Convert to fraction form
    457,515/660,026 = 660,026/x
  3. Step 3: Cross multiply
    457,515x = 660,026 × 660,026
  4. Step 4: Simplify right side
    457,515x = 435,634,320,676
  5. Step 5: Solve for x
    x = 435,634,320,676/457,515
  6. Step 6: Final answer
    x = 952,174.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.