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Finding the Third Proportional to 74,745.90 and 115,423.78

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Solution

The third proportional to 74,745.90 and 115,423.78 is: 178,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,745.90 : 115,423.78 = 115,423.78 : x
  2. Step 2: Convert to fraction form
    74,745.90/115,423.78 = 115,423.78/x
  3. Step 3: Cross multiply
    74,745.90x = 115,423.78 × 115,423.78
  4. Step 4: Simplify right side
    74,745.90x = 13,322,649,869.82
  5. Step 5: Solve for x
    x = 13,322,649,869.82/74,745.90
  6. Step 6: Final answer
    x = 178,239.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.