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Finding the Third Proportional to 47.30 and 102.14

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Solution

The third proportional to 47.30 and 102.14 is: 220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.30 : 102.14 = 102.14 : x
  2. Step 2: Convert to fraction form
    47.30/102.14 = 102.14/x
  3. Step 3: Cross multiply
    47.30x = 102.14 × 102.14
  4. Step 4: Simplify right side
    47.30x = 10,432.71
  5. Step 5: Solve for x
    x = 10,432.71/47.30
  6. Step 6: Final answer
    x = 220.58

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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.