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Finding the Third Proportional to 20,742 and 29,703

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Solution

The third proportional to 20,742 and 29,703 is: 42,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 29,703 = 29,703 : x
  2. Step 2: Convert to fraction form
    20,742/29,703 = 29,703/x
  3. Step 3: Cross multiply
    20,742x = 29,703 × 29,703
  4. Step 4: Simplify right side
    20,742x = 882,268,209
  5. Step 5: Solve for x
    x = 882,268,209/20,742
  6. Step 6: Final answer
    x = 42,535.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.