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Finding the Third Proportional to 220,878 and 340,125

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Solution

The third proportional to 220,878 and 340,125 is: 523,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,878 : 340,125 = 340,125 : x
  2. Step 2: Convert to fraction form
    220,878/340,125 = 340,125/x
  3. Step 3: Cross multiply
    220,878x = 340,125 × 340,125
  4. Step 4: Simplify right side
    220,878x = 115,685,015,625
  5. Step 5: Solve for x
    x = 115,685,015,625/220,878
  6. Step 6: Final answer
    x = 523,750.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.