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Finding the Third Proportional to 143,439 and 303,294

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Solution

The third proportional to 143,439 and 303,294 is: 641,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,439 : 303,294 = 303,294 : x
  2. Step 2: Convert to fraction form
    143,439/303,294 = 303,294/x
  3. Step 3: Cross multiply
    143,439x = 303,294 × 303,294
  4. Step 4: Simplify right side
    143,439x = 91,987,250,436
  5. Step 5: Solve for x
    x = 91,987,250,436/143,439
  6. Step 6: Final answer
    x = 641,298.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.