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Finding the Third Proportional to 84,297 and 126,216

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Solution

The third proportional to 84,297 and 126,216 is: 188,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,297 : 126,216 = 126,216 : x
  2. Step 2: Convert to fraction form
    84,297/126,216 = 126,216/x
  3. Step 3: Cross multiply
    84,297x = 126,216 × 126,216
  4. Step 4: Simplify right side
    84,297x = 15,930,478,656
  5. Step 5: Solve for x
    x = 15,930,478,656/84,297
  6. Step 6: Final answer
    x = 188,980.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.