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Finding the Third Proportional to 81,072.56 and 172,670.06

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Solution

The third proportional to 81,072.56 and 172,670.06 is: 367,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,072.56 : 172,670.06 = 172,670.06 : x
  2. Step 2: Convert to fraction form
    81,072.56/172,670.06 = 172,670.06/x
  3. Step 3: Cross multiply
    81,072.56x = 172,670.06 × 172,670.06
  4. Step 4: Simplify right side
    81,072.56x = 29,814,950,483.75
  5. Step 5: Solve for x
    x = 29,814,950,483.75/81,072.56
  6. Step 6: Final answer
    x = 367,756.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.