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Finding the Third Proportional to 139.38 and 228.13

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Solution

The third proportional to 139.38 and 228.13 is: 373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.38 : 228.13 = 228.13 : x
  2. Step 2: Convert to fraction form
    139.38/228.13 = 228.13/x
  3. Step 3: Cross multiply
    139.38x = 228.13 × 228.13
  4. Step 4: Simplify right side
    139.38x = 52,041.02
  5. Step 5: Solve for x
    x = 52,041.02/139.38
  6. Step 6: Final answer
    x = 373.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.