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Finding the Third Proportional to 74,266.88 and 103,138.31

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Solution

The third proportional to 74,266.88 and 103,138.31 is: 143,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,266.88 : 103,138.31 = 103,138.31 : x
  2. Step 2: Convert to fraction form
    74,266.88/103,138.31 = 103,138.31/x
  3. Step 3: Cross multiply
    74,266.88x = 103,138.31 × 103,138.31
  4. Step 4: Simplify right side
    74,266.88x = 10,637,511,505.35
  5. Step 5: Solve for x
    x = 10,637,511,505.35/74,266.88
  6. Step 6: Final answer
    x = 143,233.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.