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Finding the Third Proportional to 201,630.75 and 309,473.25

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Solution

The third proportional to 201,630.75 and 309,473.25 is: 474,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,630.75 : 309,473.25 = 309,473.25 : x
  2. Step 2: Convert to fraction form
    201,630.75/309,473.25 = 309,473.25/x
  3. Step 3: Cross multiply
    201,630.75x = 309,473.25 × 309,473.25
  4. Step 4: Simplify right side
    201,630.75x = 95,773,692,465.56
  5. Step 5: Solve for x
    x = 95,773,692,465.56/201,630.75
  6. Step 6: Final answer
    x = 474,995.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.