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Finding the Third Proportional to 143,212 and 210,431

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Solution

The third proportional to 143,212 and 210,431 is: 309,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,212 : 210,431 = 210,431 : x
  2. Step 2: Convert to fraction form
    143,212/210,431 = 210,431/x
  3. Step 3: Cross multiply
    143,212x = 210,431 × 210,431
  4. Step 4: Simplify right side
    143,212x = 44,281,205,761
  5. Step 5: Solve for x
    x = 44,281,205,761/143,212
  6. Step 6: Final answer
    x = 309,200.39

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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.