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Finding the Third Proportional to 51,860 and 75,521

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Solution

The third proportional to 51,860 and 75,521 is: 109,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860 : 75,521 = 75,521 : x
  2. Step 2: Convert to fraction form
    51,860/75,521 = 75,521/x
  3. Step 3: Cross multiply
    51,860x = 75,521 × 75,521
  4. Step 4: Simplify right side
    51,860x = 5,703,421,441
  5. Step 5: Solve for x
    x = 5,703,421,441/51,860
  6. Step 6: Final answer
    x = 109,977.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.