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Finding the Third Proportional to 58.38 and 91.63

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Solution

The third proportional to 58.38 and 91.63 is: 143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.38 : 91.63 = 91.63 : x
  2. Step 2: Convert to fraction form
    58.38/91.63 = 91.63/x
  3. Step 3: Cross multiply
    58.38x = 91.63 × 91.63
  4. Step 4: Simplify right side
    58.38x = 8,395.14
  5. Step 5: Solve for x
    x = 8,395.14/58.38
  6. Step 6: Final answer
    x = 143.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.