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Finding the Third Proportional to 220,003 and 343,145

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Solution

The third proportional to 220,003 and 343,145 is: 535,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,003 : 343,145 = 343,145 : x
  2. Step 2: Convert to fraction form
    220,003/343,145 = 343,145/x
  3. Step 3: Cross multiply
    220,003x = 343,145 × 343,145
  4. Step 4: Simplify right side
    220,003x = 117,748,491,025
  5. Step 5: Solve for x
    x = 117,748,491,025/220,003
  6. Step 6: Final answer
    x = 535,213.12

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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.