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Finding the Third Proportional to 138,072 and 281,940

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Solution

The third proportional to 138,072 and 281,940 is: 575,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072 : 281,940 = 281,940 : x
  2. Step 2: Convert to fraction form
    138,072/281,940 = 281,940/x
  3. Step 3: Cross multiply
    138,072x = 281,940 × 281,940
  4. Step 4: Simplify right side
    138,072x = 79,490,163,600
  5. Step 5: Solve for x
    x = 79,490,163,600/138,072
  6. Step 6: Final answer
    x = 575,715.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.