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Finding the Third Proportional to 21,910 and 35,773.50

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Solution

The third proportional to 21,910 and 35,773.50 is: 58,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910 : 35,773.50 = 35,773.50 : x
  2. Step 2: Convert to fraction form
    21,910/35,773.50 = 35,773.50/x
  3. Step 3: Cross multiply
    21,910x = 35,773.50 × 35,773.50
  4. Step 4: Simplify right side
    21,910x = 1,279,743,302.25
  5. Step 5: Solve for x
    x = 1,279,743,302.25/21,910
  6. Step 6: Final answer
    x = 58,409.10

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.