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Finding the Third Proportional to 525.87 and 702.42

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Solution

The third proportional to 525.87 and 702.42 is: 938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 702.42 = 702.42 : x
  2. Step 2: Convert to fraction form
    525.87/702.42 = 702.42/x
  3. Step 3: Cross multiply
    525.87x = 702.42 × 702.42
  4. Step 4: Simplify right side
    525.87x = 493,396.49
  5. Step 5: Solve for x
    x = 493,396.49/525.87
  6. Step 6: Final answer
    x = 938.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.