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Finding the Third Proportional to 59.09 and 79.02

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Solution

The third proportional to 59.09 and 79.02 is: 105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.09 : 79.02 = 79.02 : x
  2. Step 2: Convert to fraction form
    59.09/79.02 = 79.02/x
  3. Step 3: Cross multiply
    59.09x = 79.02 × 79.02
  4. Step 4: Simplify right side
    59.09x = 6,244.55
  5. Step 5: Solve for x
    x = 6,244.55/59.09
  6. Step 6: Final answer
    x = 105.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.