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Finding the Third Proportional to 528.47 and 701.30

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Solution

The third proportional to 528.47 and 701.30 is: 930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.47 : 701.30 = 701.30 : x
  2. Step 2: Convert to fraction form
    528.47/701.30 = 701.30/x
  3. Step 3: Cross multiply
    528.47x = 701.30 × 701.30
  4. Step 4: Simplify right side
    528.47x = 491,817.31
  5. Step 5: Solve for x
    x = 491,817.31/528.47
  6. Step 6: Final answer
    x = 930.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.