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Finding the Third Proportional to 51,850.13 and 78,251.06

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Solution

The third proportional to 51,850.13 and 78,251.06 is: 118,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850.13 : 78,251.06 = 78,251.06 : x
  2. Step 2: Convert to fraction form
    51,850.13/78,251.06 = 78,251.06/x
  3. Step 3: Cross multiply
    51,850.13x = 78,251.06 × 78,251.06
  4. Step 4: Simplify right side
    51,850.13x = 6,123,228,782.38
  5. Step 5: Solve for x
    x = 6,123,228,782.38/51,850.13
  6. Step 6: Final answer
    x = 118,094.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.