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Finding the Third Proportional to 403,042 and 869,019

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Solution

The third proportional to 403,042 and 869,019 is: 1,873,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,042 : 869,019 = 869,019 : x
  2. Step 2: Convert to fraction form
    403,042/869,019 = 869,019/x
  3. Step 3: Cross multiply
    403,042x = 869,019 × 869,019
  4. Step 4: Simplify right side
    403,042x = 755,194,022,361
  5. Step 5: Solve for x
    x = 755,194,022,361/403,042
  6. Step 6: Final answer
    x = 1,873,735.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.