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Finding the Third Proportional to 403,962 and 878,862

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Solution

The third proportional to 403,962 and 878,862 is: 1,912,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,962 : 878,862 = 878,862 : x
  2. Step 2: Convert to fraction form
    403,962/878,862 = 878,862/x
  3. Step 3: Cross multiply
    403,962x = 878,862 × 878,862
  4. Step 4: Simplify right side
    403,962x = 772,398,415,044
  5. Step 5: Solve for x
    x = 772,398,415,044/403,962
  6. Step 6: Final answer
    x = 1,912,057.11

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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.