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Finding the Third Proportional to 113,487.75 and 177,643.13

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Solution

The third proportional to 113,487.75 and 177,643.13 is: 278,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,487.75 : 177,643.13 = 177,643.13 : x
  2. Step 2: Convert to fraction form
    113,487.75/177,643.13 = 177,643.13/x
  3. Step 3: Cross multiply
    113,487.75x = 177,643.13 × 177,643.13
  4. Step 4: Simplify right side
    113,487.75x = 31,557,079,859.77
  5. Step 5: Solve for x
    x = 31,557,079,859.77/113,487.75
  6. Step 6: Final answer
    x = 278,065.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.