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Finding the Third Proportional to 828,040 and 1,690,910

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Solution

The third proportional to 828,040 and 1,690,910 is: 3,452,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,040 : 1,690,910 = 1,690,910 : x
  2. Step 2: Convert to fraction form
    828,040/1,690,910 = 1,690,910/x
  3. Step 3: Cross multiply
    828,040x = 1,690,910 × 1,690,910
  4. Step 4: Simplify right side
    828,040x = 2,859,176,628,100
  5. Step 5: Solve for x
    x = 2,859,176,628,100/828,040
  6. Step 6: Final answer
    x = 3,452,945.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.