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Finding the Third Proportional to 220,808 and 343,848

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Solution

The third proportional to 220,808 and 343,848 is: 535,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,808 : 343,848 = 343,848 : x
  2. Step 2: Convert to fraction form
    220,808/343,848 = 343,848/x
  3. Step 3: Cross multiply
    220,808x = 343,848 × 343,848
  4. Step 4: Simplify right side
    220,808x = 118,231,447,104
  5. Step 5: Solve for x
    x = 118,231,447,104/220,808
  6. Step 6: Final answer
    x = 535,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.