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Finding the Third Proportional to 75,135 and 177,685.50

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Solution

The third proportional to 75,135 and 177,685.50 is: 420,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,135 : 177,685.50 = 177,685.50 : x
  2. Step 2: Convert to fraction form
    75,135/177,685.50 = 177,685.50/x
  3. Step 3: Cross multiply
    75,135x = 177,685.50 × 177,685.50
  4. Step 4: Simplify right side
    75,135x = 31,572,136,910.25
  5. Step 5: Solve for x
    x = 31,572,136,910.25/75,135
  6. Step 6: Final answer
    x = 420,205.46

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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.