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Finding the Third Proportional to 52,132.78 and 114,415.03

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Solution

The third proportional to 52,132.78 and 114,415.03 is: 251,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.78 : 114,415.03 = 114,415.03 : x
  2. Step 2: Convert to fraction form
    52,132.78/114,415.03 = 114,415.03/x
  3. Step 3: Cross multiply
    52,132.78x = 114,415.03 × 114,415.03
  4. Step 4: Simplify right side
    52,132.78x = 13,090,799,375.94
  5. Step 5: Solve for x
    x = 13,090,799,375.94/52,132.78
  6. Step 6: Final answer
    x = 251,104.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.