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Finding the Third Proportional to 140,988 and 305,208

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Solution

The third proportional to 140,988 and 305,208 is: 660,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,988 : 305,208 = 305,208 : x
  2. Step 2: Convert to fraction form
    140,988/305,208 = 305,208/x
  3. Step 3: Cross multiply
    140,988x = 305,208 × 305,208
  4. Step 4: Simplify right side
    140,988x = 93,151,923,264
  5. Step 5: Solve for x
    x = 93,151,923,264/140,988
  6. Step 6: Final answer
    x = 660,708.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.