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Finding the Third Proportional to 403,069 and 878,714

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Solution

The third proportional to 403,069 and 878,714 is: 1,915,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,069 : 878,714 = 878,714 : x
  2. Step 2: Convert to fraction form
    403,069/878,714 = 878,714/x
  3. Step 3: Cross multiply
    403,069x = 878,714 × 878,714
  4. Step 4: Simplify right side
    403,069x = 772,138,293,796
  5. Step 5: Solve for x
    x = 772,138,293,796/403,069
  6. Step 6: Final answer
    x = 1,915,647.93

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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.