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Finding the Third Proportional to 140,932 and 305,480

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Solution

The third proportional to 140,932 and 305,480 is: 662,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,932 : 305,480 = 305,480 : x
  2. Step 2: Convert to fraction form
    140,932/305,480 = 305,480/x
  3. Step 3: Cross multiply
    140,932x = 305,480 × 305,480
  4. Step 4: Simplify right side
    140,932x = 93,318,030,400
  5. Step 5: Solve for x
    x = 93,318,030,400/140,932
  6. Step 6: Final answer
    x = 662,149.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.