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Finding the Third Proportional to 143,338 and 306,763

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Solution

The third proportional to 143,338 and 306,763 is: 656,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,338 : 306,763 = 306,763 : x
  2. Step 2: Convert to fraction form
    143,338/306,763 = 306,763/x
  3. Step 3: Cross multiply
    143,338x = 306,763 × 306,763
  4. Step 4: Simplify right side
    143,338x = 94,103,538,169
  5. Step 5: Solve for x
    x = 94,103,538,169/143,338
  6. Step 6: Final answer
    x = 656,514.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.