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Finding the Third Proportional to 109,287 and 175,203

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Solution

The third proportional to 109,287 and 175,203 is: 280,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,287 : 175,203 = 175,203 : x
  2. Step 2: Convert to fraction form
    109,287/175,203 = 175,203/x
  3. Step 3: Cross multiply
    109,287x = 175,203 × 175,203
  4. Step 4: Simplify right side
    109,287x = 30,696,091,209
  5. Step 5: Solve for x
    x = 30,696,091,209/109,287
  6. Step 6: Final answer
    x = 280,875.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.