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Finding the Third Proportional to 142,419 and 303,246

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Solution

The third proportional to 142,419 and 303,246 is: 645,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419 : 303,246 = 303,246 : x
  2. Step 2: Convert to fraction form
    142,419/303,246 = 303,246/x
  3. Step 3: Cross multiply
    142,419x = 303,246 × 303,246
  4. Step 4: Simplify right side
    142,419x = 91,958,136,516
  5. Step 5: Solve for x
    x = 91,958,136,516/142,419
  6. Step 6: Final answer
    x = 645,687.28

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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.