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Finding the Third Proportional to 19,730 and 29,801

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Solution

The third proportional to 19,730 and 29,801 is: 45,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730 : 29,801 = 29,801 : x
  2. Step 2: Convert to fraction form
    19,730/29,801 = 29,801/x
  3. Step 3: Cross multiply
    19,730x = 29,801 × 29,801
  4. Step 4: Simplify right side
    19,730x = 888,099,601
  5. Step 5: Solve for x
    x = 888,099,601/19,730
  6. Step 6: Final answer
    x = 45,012.65

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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.