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Finding the Third Proportional to 142,398 and 303,201

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Solution

The third proportional to 142,398 and 303,201 is: 645,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398 : 303,201 = 303,201 : x
  2. Step 2: Convert to fraction form
    142,398/303,201 = 303,201/x
  3. Step 3: Cross multiply
    142,398x = 303,201 × 303,201
  4. Step 4: Simplify right side
    142,398x = 91,930,846,401
  5. Step 5: Solve for x
    x = 91,930,846,401/142,398
  6. Step 6: Final answer
    x = 645,590.85

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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.