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Finding the Third Proportional to 75,240 and 177,603.75

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Solution

The third proportional to 75,240 and 177,603.75 is: 419,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,240 : 177,603.75 = 177,603.75 : x
  2. Step 2: Convert to fraction form
    75,240/177,603.75 = 177,603.75/x
  3. Step 3: Cross multiply
    75,240x = 177,603.75 × 177,603.75
  4. Step 4: Simplify right side
    75,240x = 31,543,092,014.06
  5. Step 5: Solve for x
    x = 31,543,092,014.06/75,240
  6. Step 6: Final answer
    x = 419,233.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.