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Finding the Third Proportional to 29,742 and 43,620

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Solution

The third proportional to 29,742 and 43,620 is: 63,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742 : 43,620 = 43,620 : x
  2. Step 2: Convert to fraction form
    29,742/43,620 = 43,620/x
  3. Step 3: Cross multiply
    29,742x = 43,620 × 43,620
  4. Step 4: Simplify right side
    29,742x = 1,902,704,400
  5. Step 5: Solve for x
    x = 1,902,704,400/29,742
  6. Step 6: Final answer
    x = 63,973.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.