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Finding the Third Proportional to 84,769 and 131,139.63

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Solution

The third proportional to 84,769 and 131,139.63 is: 202,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,769 : 131,139.63 = 131,139.63 : x
  2. Step 2: Convert to fraction form
    84,769/131,139.63 = 131,139.63/x
  3. Step 3: Cross multiply
    84,769x = 131,139.63 × 131,139.63
  4. Step 4: Simplify right side
    84,769x = 17,197,601,245.14
  5. Step 5: Solve for x
    x = 17,197,601,245.14/84,769
  6. Step 6: Final answer
    x = 202,876.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.