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Finding the Third Proportional to 451,498 and 663,760

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Solution

The third proportional to 451,498 and 663,760 is: 975,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,498 : 663,760 = 663,760 : x
  2. Step 2: Convert to fraction form
    451,498/663,760 = 663,760/x
  3. Step 3: Cross multiply
    451,498x = 663,760 × 663,760
  4. Step 4: Simplify right side
    451,498x = 440,577,337,600
  5. Step 5: Solve for x
    x = 440,577,337,600/451,498
  6. Step 6: Final answer
    x = 975,812.38

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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.