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Finding the Third Proportional to 19,830 and 29,197

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Solution

The third proportional to 19,830 and 29,197 is: 42,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830 : 29,197 = 29,197 : x
  2. Step 2: Convert to fraction form
    19,830/29,197 = 29,197/x
  3. Step 3: Cross multiply
    19,830x = 29,197 × 29,197
  4. Step 4: Simplify right side
    19,830x = 852,464,809
  5. Step 5: Solve for x
    x = 852,464,809/19,830
  6. Step 6: Final answer
    x = 42,988.64

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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.