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Finding the Third Proportional to 78,216 and 106,266

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Solution

The third proportional to 78,216 and 106,266 is: 144,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216 : 106,266 = 106,266 : x
  2. Step 2: Convert to fraction form
    78,216/106,266 = 106,266/x
  3. Step 3: Cross multiply
    78,216x = 106,266 × 106,266
  4. Step 4: Simplify right side
    78,216x = 11,292,462,756
  5. Step 5: Solve for x
    x = 11,292,462,756/78,216
  6. Step 6: Final answer
    x = 144,375.35

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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.