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Finding the Third Proportional to 55.59 and 73.08

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Solution

The third proportional to 55.59 and 73.08 is: 96.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.59 : 73.08 = 73.08 : x
  2. Step 2: Convert to fraction form
    55.59/73.08 = 73.08/x
  3. Step 3: Cross multiply
    55.59x = 73.08 × 73.08
  4. Step 4: Simplify right side
    55.59x = 5,340.41
  5. Step 5: Solve for x
    x = 5,340.41/55.59
  6. Step 6: Final answer
    x = 96.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.