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Finding the Third Proportional to 365,719.50 and 485,272.13

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Solution

The third proportional to 365,719.50 and 485,272.13 is: 643,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,719.50 : 485,272.13 = 485,272.13 : x
  2. Step 2: Convert to fraction form
    365,719.50/485,272.13 = 485,272.13/x
  3. Step 3: Cross multiply
    365,719.50x = 485,272.13 × 485,272.13
  4. Step 4: Simplify right side
    365,719.50x = 235,489,035,302.02
  5. Step 5: Solve for x
    x = 235,489,035,302.02/365,719.50
  6. Step 6: Final answer
    x = 643,906.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.