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Finding the Third Proportional to 688.50 and 751.88

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Solution

The third proportional to 688.50 and 751.88 is: 821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 751.88 = 751.88 : x
  2. Step 2: Convert to fraction form
    688.50/751.88 = 751.88/x
  3. Step 3: Cross multiply
    688.50x = 751.88 × 751.88
  4. Step 4: Simplify right side
    688.50x = 565,316.02
  5. Step 5: Solve for x
    x = 565,316.02/688.50
  6. Step 6: Final answer
    x = 821.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.