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Finding the Third Proportional to 20,113 and 43,309

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Solution

The third proportional to 20,113 and 43,309 is: 93,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113 : 43,309 = 43,309 : x
  2. Step 2: Convert to fraction form
    20,113/43,309 = 43,309/x
  3. Step 3: Cross multiply
    20,113x = 43,309 × 43,309
  4. Step 4: Simplify right side
    20,113x = 1,875,669,481
  5. Step 5: Solve for x
    x = 1,875,669,481/20,113
  6. Step 6: Final answer
    x = 93,256.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.