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Finding the Third Proportional to 143,673 and 312,213

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Solution

The third proportional to 143,673 and 312,213 is: 678,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,673 : 312,213 = 312,213 : x
  2. Step 2: Convert to fraction form
    143,673/312,213 = 312,213/x
  3. Step 3: Cross multiply
    143,673x = 312,213 × 312,213
  4. Step 4: Simplify right side
    143,673x = 97,476,957,369
  5. Step 5: Solve for x
    x = 97,476,957,369/143,673
  6. Step 6: Final answer
    x = 678,463.99

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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.