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Finding the Third Proportional to 401,060 and 862,382

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Solution

The third proportional to 401,060 and 862,382 is: 1,854,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060 : 862,382 = 862,382 : x
  2. Step 2: Convert to fraction form
    401,060/862,382 = 862,382/x
  3. Step 3: Cross multiply
    401,060x = 862,382 × 862,382
  4. Step 4: Simplify right side
    401,060x = 743,702,713,924
  5. Step 5: Solve for x
    x = 743,702,713,924/401,060
  6. Step 6: Final answer
    x = 1,854,342.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.