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Finding the Third Proportional to 78,222 and 106,275

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Solution

The third proportional to 78,222 and 106,275 is: 144,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222 : 106,275 = 106,275 : x
  2. Step 2: Convert to fraction form
    78,222/106,275 = 106,275/x
  3. Step 3: Cross multiply
    78,222x = 106,275 × 106,275
  4. Step 4: Simplify right side
    78,222x = 11,294,375,625
  5. Step 5: Solve for x
    x = 11,294,375,625/78,222
  6. Step 6: Final answer
    x = 144,388.73

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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.