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Finding the Third Proportional to 143,340 and 306,767

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Solution

The third proportional to 143,340 and 306,767 is: 656,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,340 : 306,767 = 306,767 : x
  2. Step 2: Convert to fraction form
    143,340/306,767 = 306,767/x
  3. Step 3: Cross multiply
    143,340x = 306,767 × 306,767
  4. Step 4: Simplify right side
    143,340x = 94,105,992,289
  5. Step 5: Solve for x
    x = 94,105,992,289/143,340
  6. Step 6: Final answer
    x = 656,522.90

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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.