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Finding the Third Proportional to 75,141 and 177,700.50

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Solution

The third proportional to 75,141 and 177,700.50 is: 420,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141 : 177,700.50 = 177,700.50 : x
  2. Step 2: Convert to fraction form
    75,141/177,700.50 = 177,700.50/x
  3. Step 3: Cross multiply
    75,141x = 177,700.50 × 177,700.50
  4. Step 4: Simplify right side
    75,141x = 31,577,467,700.25
  5. Step 5: Solve for x
    x = 31,577,467,700.25/75,141
  6. Step 6: Final answer
    x = 420,242.85

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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.