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Finding the Third Proportional to 75,811.50 and 165,072

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Solution

The third proportional to 75,811.50 and 165,072 is: 359,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,811.50 : 165,072 = 165,072 : x
  2. Step 2: Convert to fraction form
    75,811.50/165,072 = 165,072/x
  3. Step 3: Cross multiply
    75,811.50x = 165,072 × 165,072
  4. Step 4: Simplify right side
    75,811.50x = 27,248,765,184
  5. Step 5: Solve for x
    x = 27,248,765,184/75,811.50
  6. Step 6: Final answer
    x = 359,427.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.