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Finding the Third Proportional to 379,428 and 878,422

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Solution

The third proportional to 379,428 and 878,422 is: 2,033,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,428 : 878,422 = 878,422 : x
  2. Step 2: Convert to fraction form
    379,428/878,422 = 878,422/x
  3. Step 3: Cross multiply
    379,428x = 878,422 × 878,422
  4. Step 4: Simplify right side
    379,428x = 771,625,210,084
  5. Step 5: Solve for x
    x = 771,625,210,084/379,428
  6. Step 6: Final answer
    x = 2,033,653.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.