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Finding the Third Proportional to 131,890 and 279,476

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Solution

The third proportional to 131,890 and 279,476 is: 592,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,890 : 279,476 = 279,476 : x
  2. Step 2: Convert to fraction form
    131,890/279,476 = 279,476/x
  3. Step 3: Cross multiply
    131,890x = 279,476 × 279,476
  4. Step 4: Simplify right side
    131,890x = 78,106,834,576
  5. Step 5: Solve for x
    x = 78,106,834,576/131,890
  6. Step 6: Final answer
    x = 592,211.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.