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Finding the Third Proportional to 434.81 and 691.78

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Solution

The third proportional to 434.81 and 691.78 is: 1,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.81 : 691.78 = 691.78 : x
  2. Step 2: Convert to fraction form
    434.81/691.78 = 691.78/x
  3. Step 3: Cross multiply
    434.81x = 691.78 × 691.78
  4. Step 4: Simplify right side
    434.81x = 478,561.30
  5. Step 5: Solve for x
    x = 478,561.30/434.81
  6. Step 6: Final answer
    x = 1,100.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.