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Finding the Third Proportional to 133,866 and 215,271

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Solution

The third proportional to 133,866 and 215,271 is: 346,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866 : 215,271 = 215,271 : x
  2. Step 2: Convert to fraction form
    133,866/215,271 = 215,271/x
  3. Step 3: Cross multiply
    133,866x = 215,271 × 215,271
  4. Step 4: Simplify right side
    133,866x = 46,341,603,441
  5. Step 5: Solve for x
    x = 46,341,603,441/133,866
  6. Step 6: Final answer
    x = 346,179.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.