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Finding the Third Proportional to 185,880 and 279,240

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Solution

The third proportional to 185,880 and 279,240 is: 419,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,880 : 279,240 = 279,240 : x
  2. Step 2: Convert to fraction form
    185,880/279,240 = 279,240/x
  3. Step 3: Cross multiply
    185,880x = 279,240 × 279,240
  4. Step 4: Simplify right side
    185,880x = 77,974,977,600
  5. Step 5: Solve for x
    x = 77,974,977,600/185,880
  6. Step 6: Final answer
    x = 419,490.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.