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Finding the Third Proportional to 528.50 and 751.75

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Solution

The third proportional to 528.50 and 751.75 is: 1,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.50 : 751.75 = 751.75 : x
  2. Step 2: Convert to fraction form
    528.50/751.75 = 751.75/x
  3. Step 3: Cross multiply
    528.50x = 751.75 × 751.75
  4. Step 4: Simplify right side
    528.50x = 565,128.06
  5. Step 5: Solve for x
    x = 565,128.06/528.50
  6. Step 6: Final answer
    x = 1,069.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.