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Finding the Third Proportional to 81,877.50 and 125,192.25

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Solution

The third proportional to 81,877.50 and 125,192.25 is: 191,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.50 : 125,192.25 = 125,192.25 : x
  2. Step 2: Convert to fraction form
    81,877.50/125,192.25 = 125,192.25/x
  3. Step 3: Cross multiply
    81,877.50x = 125,192.25 × 125,192.25
  4. Step 4: Simplify right side
    81,877.50x = 15,673,099,460.06
  5. Step 5: Solve for x
    x = 15,673,099,460.06/81,877.50
  6. Step 6: Final answer
    x = 191,421.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.