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Finding the Third Proportional to 19,639 and 29,745

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Solution

The third proportional to 19,639 and 29,745 is: 45,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,639 : 29,745 = 29,745 : x
  2. Step 2: Convert to fraction form
    19,639/29,745 = 29,745/x
  3. Step 3: Cross multiply
    19,639x = 29,745 × 29,745
  4. Step 4: Simplify right side
    19,639x = 884,765,025
  5. Step 5: Solve for x
    x = 884,765,025/19,639
  6. Step 6: Final answer
    x = 45,051.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.