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Finding the Third Proportional to 21,205 and 36,110.75

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Solution

The third proportional to 21,205 and 36,110.75 is: 61,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205 : 36,110.75 = 36,110.75 : x
  2. Step 2: Convert to fraction form
    21,205/36,110.75 = 36,110.75/x
  3. Step 3: Cross multiply
    21,205x = 36,110.75 × 36,110.75
  4. Step 4: Simplify right side
    21,205x = 1,303,986,265.56
  5. Step 5: Solve for x
    x = 1,303,986,265.56/21,205
  6. Step 6: Final answer
    x = 61,494.28

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.