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Finding the Third Proportional to 140,884 and 305,264

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Solution

The third proportional to 140,884 and 305,264 is: 661,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,884 : 305,264 = 305,264 : x
  2. Step 2: Convert to fraction form
    140,884/305,264 = 305,264/x
  3. Step 3: Cross multiply
    140,884x = 305,264 × 305,264
  4. Step 4: Simplify right side
    140,884x = 93,186,109,696
  5. Step 5: Solve for x
    x = 93,186,109,696/140,884
  6. Step 6: Final answer
    x = 661,438.56

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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.