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Finding the Third Proportional to 81,284 and 129,796

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Solution

The third proportional to 81,284 and 129,796 is: 207,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,284 : 129,796 = 129,796 : x
  2. Step 2: Convert to fraction form
    81,284/129,796 = 129,796/x
  3. Step 3: Cross multiply
    81,284x = 129,796 × 129,796
  4. Step 4: Simplify right side
    81,284x = 16,847,001,616
  5. Step 5: Solve for x
    x = 16,847,001,616/81,284
  6. Step 6: Final answer
    x = 207,260.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.