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Finding the Third Proportional to 878,418 and 1,284,120

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Solution

The third proportional to 878,418 and 1,284,120 is: 1,877,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,418 : 1,284,120 = 1,284,120 : x
  2. Step 2: Convert to fraction form
    878,418/1,284,120 = 1,284,120/x
  3. Step 3: Cross multiply
    878,418x = 1,284,120 × 1,284,120
  4. Step 4: Simplify right side
    878,418x = 1,648,964,174,400
  5. Step 5: Solve for x
    x = 1,648,964,174,400/878,418
  6. Step 6: Final answer
    x = 1,877,197.61

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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.