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Finding the Third Proportional to 58.91 and 127.31

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Solution

The third proportional to 58.91 and 127.31 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.91 : 127.31 = 127.31 : x
  2. Step 2: Convert to fraction form
    58.91/127.31 = 127.31/x
  3. Step 3: Cross multiply
    58.91x = 127.31 × 127.31
  4. Step 4: Simplify right side
    58.91x = 16,207.73
  5. Step 5: Solve for x
    x = 16,207.73/58.91
  6. Step 6: Final answer
    x = 275.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.