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Finding the Third Proportional to 143,040 and 210,184

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Solution

The third proportional to 143,040 and 210,184 is: 308,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,040 : 210,184 = 210,184 : x
  2. Step 2: Convert to fraction form
    143,040/210,184 = 210,184/x
  3. Step 3: Cross multiply
    143,040x = 210,184 × 210,184
  4. Step 4: Simplify right side
    143,040x = 44,177,313,856
  5. Step 5: Solve for x
    x = 44,177,313,856/143,040
  6. Step 6: Final answer
    x = 308,845.87

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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.