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Finding the Third Proportional to 143,082 and 210,233

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Solution

The third proportional to 143,082 and 210,233 is: 308,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,082 : 210,233 = 210,233 : x
  2. Step 2: Convert to fraction form
    143,082/210,233 = 210,233/x
  3. Step 3: Cross multiply
    143,082x = 210,233 × 210,233
  4. Step 4: Simplify right side
    143,082x = 44,197,914,289
  5. Step 5: Solve for x
    x = 44,197,914,289/143,082
  6. Step 6: Final answer
    x = 308,899.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.