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Finding the Third Proportional to 126,268 and 210,421

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Solution

The third proportional to 126,268 and 210,421 is: 350,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,268 : 210,421 = 210,421 : x
  2. Step 2: Convert to fraction form
    126,268/210,421 = 210,421/x
  3. Step 3: Cross multiply
    126,268x = 210,421 × 210,421
  4. Step 4: Simplify right side
    126,268x = 44,276,997,241
  5. Step 5: Solve for x
    x = 44,276,997,241/126,268
  6. Step 6: Final answer
    x = 350,658.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.