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Finding the Third Proportional to 400,101 and 613,515

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Solution

The third proportional to 400,101 and 613,515 is: 940,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,101 : 613,515 = 613,515 : x
  2. Step 2: Convert to fraction form
    400,101/613,515 = 613,515/x
  3. Step 3: Cross multiply
    400,101x = 613,515 × 613,515
  4. Step 4: Simplify right side
    400,101x = 376,400,655,225
  5. Step 5: Solve for x
    x = 376,400,655,225/400,101
  6. Step 6: Final answer
    x = 940,764.10

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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.