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Finding the Third Proportional to 21,720 and 51,706

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Solution

The third proportional to 21,720 and 51,706 is: 123,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 51,706 = 51,706 : x
  2. Step 2: Convert to fraction form
    21,720/51,706 = 51,706/x
  3. Step 3: Cross multiply
    21,720x = 51,706 × 51,706
  4. Step 4: Simplify right side
    21,720x = 2,673,510,436
  5. Step 5: Solve for x
    x = 2,673,510,436/21,720
  6. Step 6: Final answer
    x = 123,089.80

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.