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Finding the Third Proportional to 81,501 and 129,676.50

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Solution

The third proportional to 81,501 and 129,676.50 is: 206,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,501 : 129,676.50 = 129,676.50 : x
  2. Step 2: Convert to fraction form
    81,501/129,676.50 = 129,676.50/x
  3. Step 3: Cross multiply
    81,501x = 129,676.50 × 129,676.50
  4. Step 4: Simplify right side
    81,501x = 16,815,994,652.25
  5. Step 5: Solve for x
    x = 16,815,994,652.25/81,501
  6. Step 6: Final answer
    x = 206,328.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.