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Finding the Third Proportional to 75.76 and 156.76

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Solution

The third proportional to 75.76 and 156.76 is: 324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 156.76 = 156.76 : x
  2. Step 2: Convert to fraction form
    75.76/156.76 = 156.76/x
  3. Step 3: Cross multiply
    75.76x = 156.76 × 156.76
  4. Step 4: Simplify right side
    75.76x = 24,574.24
  5. Step 5: Solve for x
    x = 24,574.24/75.76
  6. Step 6: Final answer
    x = 324.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.