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Finding the Third Proportional to 451,502 and 663,766

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Solution

The third proportional to 451,502 and 663,766 is: 975,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,502 : 663,766 = 663,766 : x
  2. Step 2: Convert to fraction form
    451,502/663,766 = 663,766/x
  3. Step 3: Cross multiply
    451,502x = 663,766 × 663,766
  4. Step 4: Simplify right side
    451,502x = 440,585,302,756
  5. Step 5: Solve for x
    x = 440,585,302,756/451,502
  6. Step 6: Final answer
    x = 975,821.38

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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.