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Finding the Third Proportional to 19,721 and 43,633

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Solution

The third proportional to 19,721 and 43,633 is: 96,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721 : 43,633 = 43,633 : x
  2. Step 2: Convert to fraction form
    19,721/43,633 = 43,633/x
  3. Step 3: Cross multiply
    19,721x = 43,633 × 43,633
  4. Step 4: Simplify right side
    19,721x = 1,903,838,689
  5. Step 5: Solve for x
    x = 1,903,838,689/19,721
  6. Step 6: Final answer
    x = 96,538.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.