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Finding the Third Proportional to 435.56 and 679.81

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Solution

The third proportional to 435.56 and 679.81 is: 1,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 679.81 = 679.81 : x
  2. Step 2: Convert to fraction form
    435.56/679.81 = 679.81/x
  3. Step 3: Cross multiply
    435.56x = 679.81 × 679.81
  4. Step 4: Simplify right side
    435.56x = 462,145.04
  5. Step 5: Solve for x
    x = 462,145.04/435.56
  6. Step 6: Final answer
    x = 1,061.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.