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Finding the Third Proportional to 38,643.75 and 81,437.06

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Solution

The third proportional to 38,643.75 and 81,437.06 is: 171,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.75 : 81,437.06 = 81,437.06 : x
  2. Step 2: Convert to fraction form
    38,643.75/81,437.06 = 81,437.06/x
  3. Step 3: Cross multiply
    38,643.75x = 81,437.06 × 81,437.06
  4. Step 4: Simplify right side
    38,643.75x = 6,631,995,148.63
  5. Step 5: Solve for x
    x = 6,631,995,148.63/38,643.75
  6. Step 6: Final answer
    x = 171,618.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.