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Finding the Third Proportional to 143,534 and 211,147

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Solution

The third proportional to 143,534 and 211,147 is: 310,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,534 : 211,147 = 211,147 : x
  2. Step 2: Convert to fraction form
    143,534/211,147 = 211,147/x
  3. Step 3: Cross multiply
    143,534x = 211,147 × 211,147
  4. Step 4: Simplify right side
    143,534x = 44,583,055,609
  5. Step 5: Solve for x
    x = 44,583,055,609/143,534
  6. Step 6: Final answer
    x = 310,609.72

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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.