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Finding the Third Proportional to 408,398 and 937,382

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Solution

The third proportional to 408,398 and 937,382 is: 2,151,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398 : 937,382 = 937,382 : x
  2. Step 2: Convert to fraction form
    408,398/937,382 = 937,382/x
  3. Step 3: Cross multiply
    408,398x = 937,382 × 937,382
  4. Step 4: Simplify right side
    408,398x = 878,685,013,924
  5. Step 5: Solve for x
    x = 878,685,013,924/408,398
  6. Step 6: Final answer
    x = 2,151,540.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.