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Finding the Third Proportional to 37,845 and 51,421

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Solution

The third proportional to 37,845 and 51,421 is: 69,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,845 : 51,421 = 51,421 : x
  2. Step 2: Convert to fraction form
    37,845/51,421 = 51,421/x
  3. Step 3: Cross multiply
    37,845x = 51,421 × 51,421
  4. Step 4: Simplify right side
    37,845x = 2,644,119,241
  5. Step 5: Solve for x
    x = 2,644,119,241/37,845
  6. Step 6: Final answer
    x = 69,867.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.