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Finding the Third Proportional to 414,807.75 and 878,215.50

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Solution

The third proportional to 414,807.75 and 878,215.50 is: 1,859,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,807.75 : 878,215.50 = 878,215.50 : x
  2. Step 2: Convert to fraction form
    414,807.75/878,215.50 = 878,215.50/x
  3. Step 3: Cross multiply
    414,807.75x = 878,215.50 × 878,215.50
  4. Step 4: Simplify right side
    414,807.75x = 771,262,464,440.25
  5. Step 5: Solve for x
    x = 771,262,464,440.25/414,807.75
  6. Step 6: Final answer
    x = 1,859,325.11

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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.