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Finding the Third Proportional to 762 and 970

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Solution

The third proportional to 762 and 970 is: 1,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 970 = 970 : x
  2. Step 2: Convert to fraction form
    762/970 = 970/x
  3. Step 3: Cross multiply
    762x = 970 × 970
  4. Step 4: Simplify right side
    762x = 940,900
  5. Step 5: Solve for x
    x = 940,900/762
  6. Step 6: Final answer
    x = 1,234.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.