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Finding the Third Proportional to 490,142 and 749,632

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Solution

The third proportional to 490,142 and 749,632 is: 1,146,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,142 : 749,632 = 749,632 : x
  2. Step 2: Convert to fraction form
    490,142/749,632 = 749,632/x
  3. Step 3: Cross multiply
    490,142x = 749,632 × 749,632
  4. Step 4: Simplify right side
    490,142x = 561,948,135,424
  5. Step 5: Solve for x
    x = 561,948,135,424/490,142
  6. Step 6: Final answer
    x = 1,146,500.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.