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Finding the Third Proportional to 75,610.50 and 117,601.88

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Solution

The third proportional to 75,610.50 and 117,601.88 is: 182,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,610.50 : 117,601.88 = 117,601.88 : x
  2. Step 2: Convert to fraction form
    75,610.50/117,601.88 = 117,601.88/x
  3. Step 3: Cross multiply
    75,610.50x = 117,601.88 × 117,601.88
  4. Step 4: Simplify right side
    75,610.50x = 13,830,201,003.52
  5. Step 5: Solve for x
    x = 13,830,201,003.52/75,610.50
  6. Step 6: Final answer
    x = 182,913.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.