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Finding the Third Proportional to 138,094.88 and 218,325.38

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Solution

The third proportional to 138,094.88 and 218,325.38 is: 345,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,094.88 : 218,325.38 = 218,325.38 : x
  2. Step 2: Convert to fraction form
    138,094.88/218,325.38 = 218,325.38/x
  3. Step 3: Cross multiply
    138,094.88x = 218,325.38 × 218,325.38
  4. Step 4: Simplify right side
    138,094.88x = 47,665,969,368.89
  5. Step 5: Solve for x
    x = 47,665,969,368.89/138,094.88
  6. Step 6: Final answer
    x = 345,168.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.