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Finding the Third Proportional to 421,536 and 749,520

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Solution

The third proportional to 421,536 and 749,520 is: 1,332,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,536 : 749,520 = 749,520 : x
  2. Step 2: Convert to fraction form
    421,536/749,520 = 749,520/x
  3. Step 3: Cross multiply
    421,536x = 749,520 × 749,520
  4. Step 4: Simplify right side
    421,536x = 561,780,230,400
  5. Step 5: Solve for x
    x = 561,780,230,400/421,536
  6. Step 6: Final answer
    x = 1,332,698.11

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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.