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Finding the Third Proportional to 379,836 and 887,382

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Solution

The third proportional to 379,836 and 887,382 is: 2,073,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,836 : 887,382 = 887,382 : x
  2. Step 2: Convert to fraction form
    379,836/887,382 = 887,382/x
  3. Step 3: Cross multiply
    379,836x = 887,382 × 887,382
  4. Step 4: Simplify right side
    379,836x = 787,446,813,924
  5. Step 5: Solve for x
    x = 787,446,813,924/379,836
  6. Step 6: Final answer
    x = 2,073,123.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.