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Finding the Third Proportional to 618,902 and 835,040

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Solution

The third proportional to 618,902 and 835,040 is: 1,126,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,902 : 835,040 = 835,040 : x
  2. Step 2: Convert to fraction form
    618,902/835,040 = 835,040/x
  3. Step 3: Cross multiply
    618,902x = 835,040 × 835,040
  4. Step 4: Simplify right side
    618,902x = 697,291,801,600
  5. Step 5: Solve for x
    x = 697,291,801,600/618,902
  6. Step 6: Final answer
    x = 1,126,659.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.