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Finding the Third Proportional to 141,280 and 305,504

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Solution

The third proportional to 141,280 and 305,504 is: 660,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,280 : 305,504 = 305,504 : x
  2. Step 2: Convert to fraction form
    141,280/305,504 = 305,504/x
  3. Step 3: Cross multiply
    141,280x = 305,504 × 305,504
  4. Step 4: Simplify right side
    141,280x = 93,332,694,016
  5. Step 5: Solve for x
    x = 93,332,694,016/141,280
  6. Step 6: Final answer
    x = 660,622.13

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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.