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Finding the Third Proportional to 15,721 and 23,784

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Solution

The third proportional to 15,721 and 23,784 is: 35,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721 : 23,784 = 23,784 : x
  2. Step 2: Convert to fraction form
    15,721/23,784 = 23,784/x
  3. Step 3: Cross multiply
    15,721x = 23,784 × 23,784
  4. Step 4: Simplify right side
    15,721x = 565,678,656
  5. Step 5: Solve for x
    x = 565,678,656/15,721
  6. Step 6: Final answer
    x = 35,982.36

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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.