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Finding the Third Proportional to 120,420.56 and 187,524.56

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Solution

The third proportional to 120,420.56 and 187,524.56 is: 292,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420.56 : 187,524.56 = 187,524.56 : x
  2. Step 2: Convert to fraction form
    120,420.56/187,524.56 = 187,524.56/x
  3. Step 3: Cross multiply
    120,420.56x = 187,524.56 × 187,524.56
  4. Step 4: Simplify right side
    120,420.56x = 35,165,461,540.82
  5. Step 5: Solve for x
    x = 35,165,461,540.82/120,420.56
  6. Step 6: Final answer
    x = 292,022.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.