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Finding the Third Proportional to 143,676 and 312,219

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Solution

The third proportional to 143,676 and 312,219 is: 678,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,676 : 312,219 = 312,219 : x
  2. Step 2: Convert to fraction form
    143,676/312,219 = 312,219/x
  3. Step 3: Cross multiply
    143,676x = 312,219 × 312,219
  4. Step 4: Simplify right side
    143,676x = 97,480,703,961
  5. Step 5: Solve for x
    x = 97,480,703,961/143,676
  6. Step 6: Final answer
    x = 678,475.90

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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.