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Finding the Third Proportional to 115,187 and 174,395

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Solution

The third proportional to 115,187 and 174,395 is: 264,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,187 : 174,395 = 174,395 : x
  2. Step 2: Convert to fraction form
    115,187/174,395 = 174,395/x
  3. Step 3: Cross multiply
    115,187x = 174,395 × 174,395
  4. Step 4: Simplify right side
    115,187x = 30,413,616,025
  5. Step 5: Solve for x
    x = 30,413,616,025/115,187
  6. Step 6: Final answer
    x = 264,036.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.