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Finding the Third Proportional to 202,420.13 and 435,979.69

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Solution

The third proportional to 202,420.13 and 435,979.69 is: 939,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420.13 : 435,979.69 = 435,979.69 : x
  2. Step 2: Convert to fraction form
    202,420.13/435,979.69 = 435,979.69/x
  3. Step 3: Cross multiply
    202,420.13x = 435,979.69 × 435,979.69
  4. Step 4: Simplify right side
    202,420.13x = 190,078,287,912.60
  5. Step 5: Solve for x
    x = 190,078,287,912.60/202,420.13
  6. Step 6: Final answer
    x = 939,028.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.