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Finding the Third Proportional to 202,140 and 336,872.25

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Solution

The third proportional to 202,140 and 336,872.25 is: 561,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140 : 336,872.25 = 336,872.25 : x
  2. Step 2: Convert to fraction form
    202,140/336,872.25 = 336,872.25/x
  3. Step 3: Cross multiply
    202,140x = 336,872.25 × 336,872.25
  4. Step 4: Simplify right side
    202,140x = 113,482,912,820.06
  5. Step 5: Solve for x
    x = 113,482,912,820.06/202,140
  6. Step 6: Final answer
    x = 561,407.50

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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.