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Finding the Third Proportional to 376,175 and 811,399

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Solution

The third proportional to 376,175 and 811,399 is: 1,750,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,175 : 811,399 = 811,399 : x
  2. Step 2: Convert to fraction form
    376,175/811,399 = 811,399/x
  3. Step 3: Cross multiply
    376,175x = 811,399 × 811,399
  4. Step 4: Simplify right side
    376,175x = 658,368,337,201
  5. Step 5: Solve for x
    x = 658,368,337,201/376,175
  6. Step 6: Final answer
    x = 1,750,165.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.