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Finding the Third Proportional to 763,874 and 1,680,285

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Solution

The third proportional to 763,874 and 1,680,285 is: 3,696,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,874 : 1,680,285 = 1,680,285 : x
  2. Step 2: Convert to fraction form
    763,874/1,680,285 = 1,680,285/x
  3. Step 3: Cross multiply
    763,874x = 1,680,285 × 1,680,285
  4. Step 4: Simplify right side
    763,874x = 2,823,357,681,225
  5. Step 5: Solve for x
    x = 2,823,357,681,225/763,874
  6. Step 6: Final answer
    x = 3,696,103.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.