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Finding the Third Proportional to 53,319.50 and 81,131

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Solution

The third proportional to 53,319.50 and 81,131 is: 123,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319.50 : 81,131 = 81,131 : x
  2. Step 2: Convert to fraction form
    53,319.50/81,131 = 81,131/x
  3. Step 3: Cross multiply
    53,319.50x = 81,131 × 81,131
  4. Step 4: Simplify right side
    53,319.50x = 6,582,239,161
  5. Step 5: Solve for x
    x = 6,582,239,161/53,319.50
  6. Step 6: Final answer
    x = 123,449.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.