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Finding the Third Proportional to 202,540.50 and 435,729.38

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Solution

The third proportional to 202,540.50 and 435,729.38 is: 937,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.50 : 435,729.38 = 435,729.38 : x
  2. Step 2: Convert to fraction form
    202,540.50/435,729.38 = 435,729.38/x
  3. Step 3: Cross multiply
    202,540.50x = 435,729.38 × 435,729.38
  4. Step 4: Simplify right side
    202,540.50x = 189,860,088,237.89
  5. Step 5: Solve for x
    x = 189,860,088,237.89/202,540.50
  6. Step 6: Final answer
    x = 937,393.20

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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.