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Finding the Third Proportional to 84,166 and 130,921

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Solution

The third proportional to 84,166 and 130,921 is: 203,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,166 : 130,921 = 130,921 : x
  2. Step 2: Convert to fraction form
    84,166/130,921 = 130,921/x
  3. Step 3: Cross multiply
    84,166x = 130,921 × 130,921
  4. Step 4: Simplify right side
    84,166x = 17,140,308,241
  5. Step 5: Solve for x
    x = 17,140,308,241/84,166
  6. Step 6: Final answer
    x = 203,648.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.