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Finding the Third Proportional to 179,478 and 277,871.25

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Solution

The third proportional to 179,478 and 277,871.25 is: 430,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478 : 277,871.25 = 277,871.25 : x
  2. Step 2: Convert to fraction form
    179,478/277,871.25 = 277,871.25/x
  3. Step 3: Cross multiply
    179,478x = 277,871.25 × 277,871.25
  4. Step 4: Simplify right side
    179,478x = 77,212,431,576.56
  5. Step 5: Solve for x
    x = 77,212,431,576.56/179,478
  6. Step 6: Final answer
    x = 430,205.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.