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Finding the Third Proportional to 21,782 and 34,509

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Solution

The third proportional to 21,782 and 34,509 is: 54,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782 : 34,509 = 34,509 : x
  2. Step 2: Convert to fraction form
    21,782/34,509 = 34,509/x
  3. Step 3: Cross multiply
    21,782x = 34,509 × 34,509
  4. Step 4: Simplify right side
    21,782x = 1,190,871,081
  5. Step 5: Solve for x
    x = 1,190,871,081/21,782
  6. Step 6: Final answer
    x = 54,672.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.