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Finding the Third Proportional to 421,504 and 749,452

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Solution

The third proportional to 421,504 and 749,452 is: 1,332,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,504 : 749,452 = 749,452 : x
  2. Step 2: Convert to fraction form
    421,504/749,452 = 749,452/x
  3. Step 3: Cross multiply
    421,504x = 749,452 × 749,452
  4. Step 4: Simplify right side
    421,504x = 561,678,300,304
  5. Step 5: Solve for x
    x = 561,678,300,304/421,504
  6. Step 6: Final answer
    x = 1,332,557.46

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.