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Finding the Third Proportional to 143,548 and 220,344

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Solution

The third proportional to 143,548 and 220,344 is: 338,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,548 : 220,344 = 220,344 : x
  2. Step 2: Convert to fraction form
    143,548/220,344 = 220,344/x
  3. Step 3: Cross multiply
    143,548x = 220,344 × 220,344
  4. Step 4: Simplify right side
    143,548x = 48,551,478,336
  5. Step 5: Solve for x
    x = 48,551,478,336/143,548
  6. Step 6: Final answer
    x = 338,224.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.