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Finding the Third Proportional to 376,107 and 783,317

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Solution

The third proportional to 376,107 and 783,317 is: 1,631,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,107 : 783,317 = 783,317 : x
  2. Step 2: Convert to fraction form
    376,107/783,317 = 783,317/x
  3. Step 3: Cross multiply
    376,107x = 783,317 × 783,317
  4. Step 4: Simplify right side
    376,107x = 613,585,522,489
  5. Step 5: Solve for x
    x = 613,585,522,489/376,107
  6. Step 6: Final answer
    x = 1,631,412.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.