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Finding the Third Proportional to 878,438 and 1,284,147

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Solution

The third proportional to 878,438 and 1,284,147 is: 1,877,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,438 : 1,284,147 = 1,284,147 : x
  2. Step 2: Convert to fraction form
    878,438/1,284,147 = 1,284,147/x
  3. Step 3: Cross multiply
    878,438x = 1,284,147 × 1,284,147
  4. Step 4: Simplify right side
    878,438x = 1,649,033,517,609
  5. Step 5: Solve for x
    x = 1,649,033,517,609/878,438
  6. Step 6: Final answer
    x = 1,877,233.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.