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Finding the Third Proportional to 81,837.75 and 176,585.81

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Solution

The third proportional to 81,837.75 and 176,585.81 is: 381,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,837.75 : 176,585.81 = 176,585.81 : x
  2. Step 2: Convert to fraction form
    81,837.75/176,585.81 = 176,585.81/x
  3. Step 3: Cross multiply
    81,837.75x = 176,585.81 × 176,585.81
  4. Step 4: Simplify right side
    81,837.75x = 31,182,549,176.29
  5. Step 5: Solve for x
    x = 31,182,549,176.29/81,837.75
  6. Step 6: Final answer
    x = 381,028.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.