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Finding the Third Proportional to 143,138 and 210,331

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Solution

The third proportional to 143,138 and 210,331 is: 309,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,138 : 210,331 = 210,331 : x
  2. Step 2: Convert to fraction form
    143,138/210,331 = 210,331/x
  3. Step 3: Cross multiply
    143,138x = 210,331 × 210,331
  4. Step 4: Simplify right side
    143,138x = 44,239,129,561
  5. Step 5: Solve for x
    x = 44,239,129,561/143,138
  6. Step 6: Final answer
    x = 309,066.28

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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.