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Finding the Third Proportional to 57,100.50 and 81,159.75

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Solution

The third proportional to 57,100.50 and 81,159.75 is: 115,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100.50 : 81,159.75 = 81,159.75 : x
  2. Step 2: Convert to fraction form
    57,100.50/81,159.75 = 81,159.75/x
  3. Step 3: Cross multiply
    57,100.50x = 81,159.75 × 81,159.75
  4. Step 4: Simplify right side
    57,100.50x = 6,586,905,020.06
  5. Step 5: Solve for x
    x = 6,586,905,020.06/57,100.50
  6. Step 6: Final answer
    x = 115,356.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.