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Finding the Third Proportional to 115,815 and 174,000.75

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Solution

The third proportional to 115,815 and 174,000.75 is: 261,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,815 : 174,000.75 = 174,000.75 : x
  2. Step 2: Convert to fraction form
    115,815/174,000.75 = 174,000.75/x
  3. Step 3: Cross multiply
    115,815x = 174,000.75 × 174,000.75
  4. Step 4: Simplify right side
    115,815x = 30,276,261,000.56
  5. Step 5: Solve for x
    x = 30,276,261,000.56/115,815
  6. Step 6: Final answer
    x = 261,419.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.