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Finding the Third Proportional to 400,126 and 613,511

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Solution

The third proportional to 400,126 and 613,511 is: 940,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,126 : 613,511 = 613,511 : x
  2. Step 2: Convert to fraction form
    400,126/613,511 = 613,511/x
  3. Step 3: Cross multiply
    400,126x = 613,511 × 613,511
  4. Step 4: Simplify right side
    400,126x = 376,395,747,121
  5. Step 5: Solve for x
    x = 376,395,747,121/400,126
  6. Step 6: Final answer
    x = 940,693.05

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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.