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Finding the Third Proportional to 81,513 and 171,888.75

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Solution

The third proportional to 81,513 and 171,888.75 is: 362,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,513 : 171,888.75 = 171,888.75 : x
  2. Step 2: Convert to fraction form
    81,513/171,888.75 = 171,888.75/x
  3. Step 3: Cross multiply
    81,513x = 171,888.75 × 171,888.75
  4. Step 4: Simplify right side
    81,513x = 29,545,742,376.56
  5. Step 5: Solve for x
    x = 29,545,742,376.56/81,513
  6. Step 6: Final answer
    x = 362,466.63

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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.