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Finding the Third Proportional to 143,834 and 312,765

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Solution

The third proportional to 143,834 and 312,765 is: 680,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,834 : 312,765 = 312,765 : x
  2. Step 2: Convert to fraction form
    143,834/312,765 = 312,765/x
  3. Step 3: Cross multiply
    143,834x = 312,765 × 312,765
  4. Step 4: Simplify right side
    143,834x = 97,821,945,225
  5. Step 5: Solve for x
    x = 97,821,945,225/143,834
  6. Step 6: Final answer
    x = 680,103.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.