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Finding the Third Proportional to 414,810 and 878,220

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Solution

The third proportional to 414,810 and 878,220 is: 1,859,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,810 : 878,220 = 878,220 : x
  2. Step 2: Convert to fraction form
    414,810/878,220 = 878,220/x
  3. Step 3: Cross multiply
    414,810x = 878,220 × 878,220
  4. Step 4: Simplify right side
    414,810x = 771,270,368,400
  5. Step 5: Solve for x
    x = 771,270,368,400/414,810
  6. Step 6: Final answer
    x = 1,859,334.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.