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Finding the Third Proportional to 490,136 and 749,622

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Solution

The third proportional to 490,136 and 749,622 is: 1,146,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,136 : 749,622 = 749,622 : x
  2. Step 2: Convert to fraction form
    490,136/749,622 = 749,622/x
  3. Step 3: Cross multiply
    490,136x = 749,622 × 749,622
  4. Step 4: Simplify right side
    490,136x = 561,933,142,884
  5. Step 5: Solve for x
    x = 561,933,142,884/490,136
  6. Step 6: Final answer
    x = 1,146,484.12

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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.