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Finding the Third Proportional to 143,102 and 220,053

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Solution

The third proportional to 143,102 and 220,053 is: 338,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,102 : 220,053 = 220,053 : x
  2. Step 2: Convert to fraction form
    143,102/220,053 = 220,053/x
  3. Step 3: Cross multiply
    143,102x = 220,053 × 220,053
  4. Step 4: Simplify right side
    143,102x = 48,423,322,809
  5. Step 5: Solve for x
    x = 48,423,322,809/143,102
  6. Step 6: Final answer
    x = 338,383.27

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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.