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Finding the Third Proportional to 78,228 and 106,284

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Solution

The third proportional to 78,228 and 106,284 is: 144,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228 : 106,284 = 106,284 : x
  2. Step 2: Convert to fraction form
    78,228/106,284 = 106,284/x
  3. Step 3: Cross multiply
    78,228x = 106,284 × 106,284
  4. Step 4: Simplify right side
    78,228x = 11,296,288,656
  5. Step 5: Solve for x
    x = 11,296,288,656/78,228
  6. Step 6: Final answer
    x = 144,402.12

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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.