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Finding the Third Proportional to 200,057.50 and 309,670.75

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Solution

The third proportional to 200,057.50 and 309,670.75 is: 479,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,057.50 : 309,670.75 = 309,670.75 : x
  2. Step 2: Convert to fraction form
    200,057.50/309,670.75 = 309,670.75/x
  3. Step 3: Cross multiply
    200,057.50x = 309,670.75 × 309,670.75
  4. Step 4: Simplify right side
    200,057.50x = 95,895,973,405.56
  5. Step 5: Solve for x
    x = 95,895,973,405.56/200,057.50
  6. Step 6: Final answer
    x = 479,342.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.