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Finding the Third Proportional to 19,739 and 43,309

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Solution

The third proportional to 19,739 and 43,309 is: 95,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739 : 43,309 = 43,309 : x
  2. Step 2: Convert to fraction form
    19,739/43,309 = 43,309/x
  3. Step 3: Cross multiply
    19,739x = 43,309 × 43,309
  4. Step 4: Simplify right side
    19,739x = 1,875,669,481
  5. Step 5: Solve for x
    x = 1,875,669,481/19,739
  6. Step 6: Final answer
    x = 95,023.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.