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Finding the Third Proportional to 220,000 and 343,140

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Solution

The third proportional to 220,000 and 343,140 is: 535,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,000 : 343,140 = 343,140 : x
  2. Step 2: Convert to fraction form
    220,000/343,140 = 343,140/x
  3. Step 3: Cross multiply
    220,000x = 343,140 × 343,140
  4. Step 4: Simplify right side
    220,000x = 117,745,059,600
  5. Step 5: Solve for x
    x = 117,745,059,600/220,000
  6. Step 6: Final answer
    x = 535,204.82

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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.