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Finding the Third Proportional to 81,135 and 174,264

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Solution

The third proportional to 81,135 and 174,264 is: 374,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,135 : 174,264 = 174,264 : x
  2. Step 2: Convert to fraction form
    81,135/174,264 = 174,264/x
  3. Step 3: Cross multiply
    81,135x = 174,264 × 174,264
  4. Step 4: Simplify right side
    81,135x = 30,367,941,696
  5. Step 5: Solve for x
    x = 30,367,941,696/81,135
  6. Step 6: Final answer
    x = 374,289.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.