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Finding the Third Proportional to 581,904 and 878,040

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Solution

The third proportional to 581,904 and 878,040 is: 1,324,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,904 : 878,040 = 878,040 : x
  2. Step 2: Convert to fraction form
    581,904/878,040 = 878,040/x
  3. Step 3: Cross multiply
    581,904x = 878,040 × 878,040
  4. Step 4: Simplify right side
    581,904x = 770,954,241,600
  5. Step 5: Solve for x
    x = 770,954,241,600/581,904
  6. Step 6: Final answer
    x = 1,324,882.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.