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Finding the Third Proportional to 761.75 and 969.63

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Solution

The third proportional to 761.75 and 969.63 is: 1,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 969.63 = 969.63 : x
  2. Step 2: Convert to fraction form
    761.75/969.63 = 969.63/x
  3. Step 3: Cross multiply
    761.75x = 969.63 × 969.63
  4. Step 4: Simplify right side
    761.75x = 940,176.43
  5. Step 5: Solve for x
    x = 940,176.43/761.75
  6. Step 6: Final answer
    x = 1,234.24

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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.