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Finding the Third Proportional to 21,602.25 and 35,274.75

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Solution

The third proportional to 21,602.25 and 35,274.75 is: 57,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.25 : 35,274.75 = 35,274.75 : x
  2. Step 2: Convert to fraction form
    21,602.25/35,274.75 = 35,274.75/x
  3. Step 3: Cross multiply
    21,602.25x = 35,274.75 × 35,274.75
  4. Step 4: Simplify right side
    21,602.25x = 1,244,307,987.56
  5. Step 5: Solve for x
    x = 1,244,307,987.56/21,602.25
  6. Step 6: Final answer
    x = 57,600.85

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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.