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Finding the Third Proportional to 19,539.72 and 39,770

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Solution

The third proportional to 19,539.72 and 39,770 is: 80,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539.72 : 39,770 = 39,770 : x
  2. Step 2: Convert to fraction form
    19,539.72/39,770 = 39,770/x
  3. Step 3: Cross multiply
    19,539.72x = 39,770 × 39,770
  4. Step 4: Simplify right side
    19,539.72x = 1,581,652,900
  5. Step 5: Solve for x
    x = 1,581,652,900/19,539.72
  6. Step 6: Final answer
    x = 80,945.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.