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Finding the Third Proportional to 128,591.61 and 200,250.04

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Solution

The third proportional to 128,591.61 and 200,250.04 is: 311,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,591.61 : 200,250.04 = 200,250.04 : x
  2. Step 2: Convert to fraction form
    128,591.61/200,250.04 = 200,250.04/x
  3. Step 3: Cross multiply
    128,591.61x = 200,250.04 × 200,250.04
  4. Step 4: Simplify right side
    128,591.61x = 40,100,076,580.08
  5. Step 5: Solve for x
    x = 40,100,076,580.08/128,591.61
  6. Step 6: Final answer
    x = 311,840.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.