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Finding the Third Proportional to 989.88 and 1,567.38

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Solution

The third proportional to 989.88 and 1,567.38 is: 2,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.88 : 1,567.38 = 1,567.38 : x
  2. Step 2: Convert to fraction form
    989.88/1,567.38 = 1,567.38/x
  3. Step 3: Cross multiply
    989.88x = 1,567.38 × 1,567.38
  4. Step 4: Simplify right side
    989.88x = 2,456,664.39
  5. Step 5: Solve for x
    x = 2,456,664.39/989.88
  6. Step 6: Final answer
    x = 2,481.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.