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Finding the Third Proportional to 21,809 and 46,591

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Solution

The third proportional to 21,809 and 46,591 is: 99,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809 : 46,591 = 46,591 : x
  2. Step 2: Convert to fraction form
    21,809/46,591 = 46,591/x
  3. Step 3: Cross multiply
    21,809x = 46,591 × 46,591
  4. Step 4: Simplify right side
    21,809x = 2,170,721,281
  5. Step 5: Solve for x
    x = 2,170,721,281/21,809
  6. Step 6: Final answer
    x = 99,533.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.