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Finding the Third Proportional to 136,527 and 279,858

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Solution

The third proportional to 136,527 and 279,858 is: 573,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,527 : 279,858 = 279,858 : x
  2. Step 2: Convert to fraction form
    136,527/279,858 = 279,858/x
  3. Step 3: Cross multiply
    136,527x = 279,858 × 279,858
  4. Step 4: Simplify right side
    136,527x = 78,320,500,164
  5. Step 5: Solve for x
    x = 78,320,500,164/136,527
  6. Step 6: Final answer
    x = 573,663.09

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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.