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Finding the Third Proportional to 142,399 and 303,203

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Solution

The third proportional to 142,399 and 303,203 is: 645,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,399 : 303,203 = 303,203 : x
  2. Step 2: Convert to fraction form
    142,399/303,203 = 303,203/x
  3. Step 3: Cross multiply
    142,399x = 303,203 × 303,203
  4. Step 4: Simplify right side
    142,399x = 91,932,059,209
  5. Step 5: Solve for x
    x = 91,932,059,209/142,399
  6. Step 6: Final answer
    x = 645,594.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.