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Finding the Third Proportional to 408,040 and 875,128

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Solution

The third proportional to 408,040 and 875,128 is: 1,876,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,040 : 875,128 = 875,128 : x
  2. Step 2: Convert to fraction form
    408,040/875,128 = 875,128/x
  3. Step 3: Cross multiply
    408,040x = 875,128 × 875,128
  4. Step 4: Simplify right side
    408,040x = 765,849,016,384
  5. Step 5: Solve for x
    x = 765,849,016,384/408,040
  6. Step 6: Final answer
    x = 1,876,896.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.