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Finding the Third Proportional to 143,473 and 210,601

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Solution

The third proportional to 143,473 and 210,601 is: 309,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,473 : 210,601 = 210,601 : x
  2. Step 2: Convert to fraction form
    143,473/210,601 = 210,601/x
  3. Step 3: Cross multiply
    143,473x = 210,601 × 210,601
  4. Step 4: Simplify right side
    143,473x = 44,352,781,201
  5. Step 5: Solve for x
    x = 44,352,781,201/143,473
  6. Step 6: Final answer
    x = 309,136.78

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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.