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Finding the Third Proportional to 136,584 and 279,930

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Solution

The third proportional to 136,584 and 279,930 is: 573,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,584 : 279,930 = 279,930 : x
  2. Step 2: Convert to fraction form
    136,584/279,930 = 279,930/x
  3. Step 3: Cross multiply
    136,584x = 279,930 × 279,930
  4. Step 4: Simplify right side
    136,584x = 78,360,804,900
  5. Step 5: Solve for x
    x = 78,360,804,900/136,584
  6. Step 6: Final answer
    x = 573,718.77

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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.