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Finding the Third Proportional to 143,045 and 210,188

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Solution

The third proportional to 143,045 and 210,188 is: 308,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,045 : 210,188 = 210,188 : x
  2. Step 2: Convert to fraction form
    143,045/210,188 = 210,188/x
  3. Step 3: Cross multiply
    143,045x = 210,188 × 210,188
  4. Step 4: Simplify right side
    143,045x = 44,178,995,344
  5. Step 5: Solve for x
    x = 44,178,995,344/143,045
  6. Step 6: Final answer
    x = 308,846.83

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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.