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Finding the Third Proportional to 74,475.25 and 159,610.50

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Solution

The third proportional to 74,475.25 and 159,610.50 is: 342,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475.25 : 159,610.50 = 159,610.50 : x
  2. Step 2: Convert to fraction form
    74,475.25/159,610.50 = 159,610.50/x
  3. Step 3: Cross multiply
    74,475.25x = 159,610.50 × 159,610.50
  4. Step 4: Simplify right side
    74,475.25x = 25,475,511,710.25
  5. Step 5: Solve for x
    x = 25,475,511,710.25/74,475.25
  6. Step 6: Final answer
    x = 342,066.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.