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Finding the Third Proportional to 143,186 and 210,395

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Solution

The third proportional to 143,186 and 210,395 is: 309,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,186 : 210,395 = 210,395 : x
  2. Step 2: Convert to fraction form
    143,186/210,395 = 210,395/x
  3. Step 3: Cross multiply
    143,186x = 210,395 × 210,395
  4. Step 4: Simplify right side
    143,186x = 44,266,056,025
  5. Step 5: Solve for x
    x = 44,266,056,025/143,186
  6. Step 6: Final answer
    x = 309,150.73

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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.