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Finding the Third Proportional to 58.78 and 99.05

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Solution

The third proportional to 58.78 and 99.05 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 99.05 = 99.05 : x
  2. Step 2: Convert to fraction form
    58.78/99.05 = 99.05/x
  3. Step 3: Cross multiply
    58.78x = 99.05 × 99.05
  4. Step 4: Simplify right side
    58.78x = 9,810.28
  5. Step 5: Solve for x
    x = 9,810.28/58.78
  6. Step 6: Final answer
    x = 166.89

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.