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Finding the Third Proportional to 202,072.50 and 336,772.13

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Solution

The third proportional to 202,072.50 and 336,772.13 is: 561,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,072.50 : 336,772.13 = 336,772.13 : x
  2. Step 2: Convert to fraction form
    202,072.50/336,772.13 = 336,772.13/x
  3. Step 3: Cross multiply
    202,072.50x = 336,772.13 × 336,772.13
  4. Step 4: Simplify right side
    202,072.50x = 113,415,464,177.02
  5. Step 5: Solve for x
    x = 113,415,464,177.02/202,072.50
  6. Step 6: Final answer
    x = 561,261.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.