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Finding the Third Proportional to 19,861 and 29,122

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Solution

The third proportional to 19,861 and 29,122 is: 42,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861 : 29,122 = 29,122 : x
  2. Step 2: Convert to fraction form
    19,861/29,122 = 29,122/x
  3. Step 3: Cross multiply
    19,861x = 29,122 × 29,122
  4. Step 4: Simplify right side
    19,861x = 848,090,884
  5. Step 5: Solve for x
    x = 848,090,884/19,861
  6. Step 6: Final answer
    x = 42,701.32

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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.