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Finding the Third Proportional to 878,016 and 1,313,280

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Solution

The third proportional to 878,016 and 1,313,280 is: 1,964,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,016 : 1,313,280 = 1,313,280 : x
  2. Step 2: Convert to fraction form
    878,016/1,313,280 = 1,313,280/x
  3. Step 3: Cross multiply
    878,016x = 1,313,280 × 1,313,280
  4. Step 4: Simplify right side
    878,016x = 1,724,704,358,400
  5. Step 5: Solve for x
    x = 1,724,704,358,400/878,016
  6. Step 6: Final answer
    x = 1,964,319.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.