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Finding the Third Proportional to 431.18 and 688.97

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Solution

The third proportional to 431.18 and 688.97 is: 1,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.18 : 688.97 = 688.97 : x
  2. Step 2: Convert to fraction form
    431.18/688.97 = 688.97/x
  3. Step 3: Cross multiply
    431.18x = 688.97 × 688.97
  4. Step 4: Simplify right side
    431.18x = 474,686.01
  5. Step 5: Solve for x
    x = 474,686.01/431.18
  6. Step 6: Final answer
    x = 1,100.89

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.