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Finding the Third Proportional to 58.03 and 136.31

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Solution

The third proportional to 58.03 and 136.31 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.03 : 136.31 = 136.31 : x
  2. Step 2: Convert to fraction form
    58.03/136.31 = 136.31/x
  3. Step 3: Cross multiply
    58.03x = 136.31 × 136.31
  4. Step 4: Simplify right side
    58.03x = 18,581.10
  5. Step 5: Solve for x
    x = 18,581.10/58.03
  6. Step 6: Final answer
    x = 320.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.