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Finding the Third Proportional to 878,289 and 1,917,228

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Solution

The third proportional to 878,289 and 1,917,228 is: 4,185,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,289 : 1,917,228 = 1,917,228 : x
  2. Step 2: Convert to fraction form
    878,289/1,917,228 = 1,917,228/x
  3. Step 3: Cross multiply
    878,289x = 1,917,228 × 1,917,228
  4. Step 4: Simplify right side
    878,289x = 3,675,763,203,984
  5. Step 5: Solve for x
    x = 3,675,763,203,984/878,289
  6. Step 6: Final answer
    x = 4,185,140.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.