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Finding the Third Proportional to 200,577.75 and 437,128.50

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Solution

The third proportional to 200,577.75 and 437,128.50 is: 952,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,577.75 : 437,128.50 = 437,128.50 : x
  2. Step 2: Convert to fraction form
    200,577.75/437,128.50 = 437,128.50/x
  3. Step 3: Cross multiply
    200,577.75x = 437,128.50 × 437,128.50
  4. Step 4: Simplify right side
    200,577.75x = 191,081,325,512.25
  5. Step 5: Solve for x
    x = 191,081,325,512.25/200,577.75
  6. Step 6: Final answer
    x = 952,654.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.