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Finding the Third Proportional to 147,420 and 220,878

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Solution

The third proportional to 147,420 and 220,878 is: 330,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,420 : 220,878 = 220,878 : x
  2. Step 2: Convert to fraction form
    147,420/220,878 = 220,878/x
  3. Step 3: Cross multiply
    147,420x = 220,878 × 220,878
  4. Step 4: Simplify right side
    147,420x = 48,787,090,884
  5. Step 5: Solve for x
    x = 48,787,090,884/147,420
  6. Step 6: Final answer
    x = 330,939.43

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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.