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Finding the Third Proportional to 403,071 and 878,718

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Solution

The third proportional to 403,071 and 878,718 is: 1,915,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,071 : 878,718 = 878,718 : x
  2. Step 2: Convert to fraction form
    403,071/878,718 = 878,718/x
  3. Step 3: Cross multiply
    403,071x = 878,718 × 878,718
  4. Step 4: Simplify right side
    403,071x = 772,145,323,524
  5. Step 5: Solve for x
    x = 772,145,323,524/403,071
  6. Step 6: Final answer
    x = 1,915,655.86

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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.