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Finding the Third Proportional to 143,206 and 210,423

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Solution

The third proportional to 143,206 and 210,423 is: 309,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,206 : 210,423 = 210,423 : x
  2. Step 2: Convert to fraction form
    143,206/210,423 = 210,423/x
  3. Step 3: Cross multiply
    143,206x = 210,423 × 210,423
  4. Step 4: Simplify right side
    143,206x = 44,277,838,929
  5. Step 5: Solve for x
    x = 44,277,838,929/143,206
  6. Step 6: Final answer
    x = 309,189.83

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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.