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Finding the Third Proportional to 120,534 and 178,341

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Solution

The third proportional to 120,534 and 178,341 is: 263,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,534 : 178,341 = 178,341 : x
  2. Step 2: Convert to fraction form
    120,534/178,341 = 178,341/x
  3. Step 3: Cross multiply
    120,534x = 178,341 × 178,341
  4. Step 4: Simplify right side
    120,534x = 31,805,512,281
  5. Step 5: Solve for x
    x = 31,805,512,281/120,534
  6. Step 6: Final answer
    x = 263,871.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.