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Finding the Third Proportional to 185,677.31 and 280,290.38

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Solution

The third proportional to 185,677.31 and 280,290.38 is: 423,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,677.31 : 280,290.38 = 280,290.38 : x
  2. Step 2: Convert to fraction form
    185,677.31/280,290.38 = 280,290.38/x
  3. Step 3: Cross multiply
    185,677.31x = 280,290.38 × 280,290.38
  4. Step 4: Simplify right side
    185,677.31x = 78,562,694,317.64
  5. Step 5: Solve for x
    x = 78,562,694,317.64/185,677.31
  6. Step 6: Final answer
    x = 423,114.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.