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Finding the Third Proportional to 136,521 and 279,846

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Solution

The third proportional to 136,521 and 279,846 is: 573,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,521 : 279,846 = 279,846 : x
  2. Step 2: Convert to fraction form
    136,521/279,846 = 279,846/x
  3. Step 3: Cross multiply
    136,521x = 279,846 × 279,846
  4. Step 4: Simplify right side
    136,521x = 78,313,783,716
  5. Step 5: Solve for x
    x = 78,313,783,716/136,521
  6. Step 6: Final answer
    x = 573,639.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.