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Finding the Third Proportional to 640,179 and 1,398,474

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Solution

The third proportional to 640,179 and 1,398,474 is: 3,054,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,179 : 1,398,474 = 1,398,474 : x
  2. Step 2: Convert to fraction form
    640,179/1,398,474 = 1,398,474/x
  3. Step 3: Cross multiply
    640,179x = 1,398,474 × 1,398,474
  4. Step 4: Simplify right side
    640,179x = 1,955,729,528,676
  5. Step 5: Solve for x
    x = 1,955,729,528,676/640,179
  6. Step 6: Final answer
    x = 3,054,972.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.