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Finding the Third Proportional to 430.88 and 688.69

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Solution

The third proportional to 430.88 and 688.69 is: 1,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 688.69 = 688.69 : x
  2. Step 2: Convert to fraction form
    430.88/688.69 = 688.69/x
  3. Step 3: Cross multiply
    430.88x = 688.69 × 688.69
  4. Step 4: Simplify right side
    430.88x = 474,290.47
  5. Step 5: Solve for x
    x = 474,290.47/430.88
  6. Step 6: Final answer
    x = 1,100.76

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Why These Related Problems?

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