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Finding the Third Proportional to 21,069 and 36,301.50

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Solution

The third proportional to 21,069 and 36,301.50 is: 62,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069 : 36,301.50 = 36,301.50 : x
  2. Step 2: Convert to fraction form
    21,069/36,301.50 = 36,301.50/x
  3. Step 3: Cross multiply
    21,069x = 36,301.50 × 36,301.50
  4. Step 4: Simplify right side
    21,069x = 1,317,798,902.25
  5. Step 5: Solve for x
    x = 1,317,798,902.25/21,069
  6. Step 6: Final answer
    x = 62,546.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.