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Finding the Third Proportional to 76.51 and 157.10

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Solution

The third proportional to 76.51 and 157.10 is: 322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 157.10 = 157.10 : x
  2. Step 2: Convert to fraction form
    76.51/157.10 = 157.10/x
  3. Step 3: Cross multiply
    76.51x = 157.10 × 157.10
  4. Step 4: Simplify right side
    76.51x = 24,679.06
  5. Step 5: Solve for x
    x = 24,679.06/76.51
  6. Step 6: Final answer
    x = 322.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.