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Finding the Third Proportional to 138,480.50 and 226,105.50

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Solution

The third proportional to 138,480.50 and 226,105.50 is: 369,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,480.50 : 226,105.50 = 226,105.50 : x
  2. Step 2: Convert to fraction form
    138,480.50/226,105.50 = 226,105.50/x
  3. Step 3: Cross multiply
    138,480.50x = 226,105.50 × 226,105.50
  4. Step 4: Simplify right side
    138,480.50x = 51,123,697,130.25
  5. Step 5: Solve for x
    x = 51,123,697,130.25/138,480.50
  6. Step 6: Final answer
    x = 369,176.14

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.