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Finding the Third Proportional to 432.80 and 688.03

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Solution

The third proportional to 432.80 and 688.03 is: 1,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 688.03 = 688.03 : x
  2. Step 2: Convert to fraction form
    432.80/688.03 = 688.03/x
  3. Step 3: Cross multiply
    432.80x = 688.03 × 688.03
  4. Step 4: Simplify right side
    432.80x = 473,387.00
  5. Step 5: Solve for x
    x = 473,387.00/432.80
  6. Step 6: Final answer
    x = 1,093.79

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Why These Related Problems?

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