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Finding the Third Proportional to 19,721 and 43,276

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Solution

The third proportional to 19,721 and 43,276 is: 94,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721 : 43,276 = 43,276 : x
  2. Step 2: Convert to fraction form
    19,721/43,276 = 43,276/x
  3. Step 3: Cross multiply
    19,721x = 43,276 × 43,276
  4. Step 4: Simplify right side
    19,721x = 1,872,812,176
  5. Step 5: Solve for x
    x = 1,872,812,176/19,721
  6. Step 6: Final answer
    x = 94,965.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.