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Finding the Third Proportional to 400,042.50 and 866,787

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Solution

The third proportional to 400,042.50 and 866,787 is: 1,878,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,042.50 : 866,787 = 866,787 : x
  2. Step 2: Convert to fraction form
    400,042.50/866,787 = 866,787/x
  3. Step 3: Cross multiply
    400,042.50x = 866,787 × 866,787
  4. Step 4: Simplify right side
    400,042.50x = 751,319,703,369
  5. Step 5: Solve for x
    x = 751,319,703,369/400,042.50
  6. Step 6: Final answer
    x = 1,878,099.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.