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Finding the Third Proportional to 689.13 and 987.82

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Solution

The third proportional to 689.13 and 987.82 is: 1,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 987.82 = 987.82 : x
  2. Step 2: Convert to fraction form
    689.13/987.82 = 987.82/x
  3. Step 3: Cross multiply
    689.13x = 987.82 × 987.82
  4. Step 4: Simplify right side
    689.13x = 975,788.97
  5. Step 5: Solve for x
    x = 975,788.97/689.13
  6. Step 6: Final answer
    x = 1,415.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.