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Finding the Third Proportional to 142,422 and 303,252

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Solution

The third proportional to 142,422 and 303,252 is: 645,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422 : 303,252 = 303,252 : x
  2. Step 2: Convert to fraction form
    142,422/303,252 = 303,252/x
  3. Step 3: Cross multiply
    142,422x = 303,252 × 303,252
  4. Step 4: Simplify right side
    142,422x = 91,961,775,504
  5. Step 5: Solve for x
    x = 91,961,775,504/142,422
  6. Step 6: Final answer
    x = 645,699.23

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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.