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Finding the Third Proportional to 70,540.88 and 103,553.44

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Solution

The third proportional to 70,540.88 and 103,553.44 is: 152,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540.88 : 103,553.44 = 103,553.44 : x
  2. Step 2: Convert to fraction form
    70,540.88/103,553.44 = 103,553.44/x
  3. Step 3: Cross multiply
    70,540.88x = 103,553.44 × 103,553.44
  4. Step 4: Simplify right side
    70,540.88x = 10,723,314,418.07
  5. Step 5: Solve for x
    x = 10,723,314,418.07/70,540.88
  6. Step 6: Final answer
    x = 152,015.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.