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Finding the Third Proportional to 58.47 and 127.74

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Solution

The third proportional to 58.47 and 127.74 is: 279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.47 : 127.74 = 127.74 : x
  2. Step 2: Convert to fraction form
    58.47/127.74 = 127.74/x
  3. Step 3: Cross multiply
    58.47x = 127.74 × 127.74
  4. Step 4: Simplify right side
    58.47x = 16,318.55
  5. Step 5: Solve for x
    x = 16,318.55/58.47
  6. Step 6: Final answer
    x = 279.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.