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Finding the Third Proportional to 47,703.94 and 81,245.53

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Solution

The third proportional to 47,703.94 and 81,245.53 is: 138,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.94 : 81,245.53 = 81,245.53 : x
  2. Step 2: Convert to fraction form
    47,703.94/81,245.53 = 81,245.53/x
  3. Step 3: Cross multiply
    47,703.94x = 81,245.53 × 81,245.53
  4. Step 4: Simplify right side
    47,703.94x = 6,600,836,348.09
  5. Step 5: Solve for x
    x = 6,600,836,348.09/47,703.94
  6. Step 6: Final answer
    x = 138,370.89

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.