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Finding the Third Proportional to 490,121 and 749,600

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Solution

The third proportional to 490,121 and 749,600 is: 1,146,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,121 : 749,600 = 749,600 : x
  2. Step 2: Convert to fraction form
    490,121/749,600 = 749,600/x
  3. Step 3: Cross multiply
    490,121x = 749,600 × 749,600
  4. Step 4: Simplify right side
    490,121x = 561,900,160,000
  5. Step 5: Solve for x
    x = 561,900,160,000/490,121
  6. Step 6: Final answer
    x = 1,146,451.92

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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.