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Finding the Third Proportional to 386,517 and 841,651

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Solution

The third proportional to 386,517 and 841,651 is: 1,832,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,517 : 841,651 = 841,651 : x
  2. Step 2: Convert to fraction form
    386,517/841,651 = 841,651/x
  3. Step 3: Cross multiply
    386,517x = 841,651 × 841,651
  4. Step 4: Simplify right side
    386,517x = 708,376,405,801
  5. Step 5: Solve for x
    x = 708,376,405,801/386,517
  6. Step 6: Final answer
    x = 1,832,717.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.