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Finding the Third Proportional to 80,620.50 and 127,114

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Solution

The third proportional to 80,620.50 and 127,114 is: 200,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,620.50 : 127,114 = 127,114 : x
  2. Step 2: Convert to fraction form
    80,620.50/127,114 = 127,114/x
  3. Step 3: Cross multiply
    80,620.50x = 127,114 × 127,114
  4. Step 4: Simplify right side
    80,620.50x = 16,157,968,996
  5. Step 5: Solve for x
    x = 16,157,968,996/80,620.50
  6. Step 6: Final answer
    x = 200,420.10

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.