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Finding the Third Proportional to 203,206.50 and 316,444.50

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Solution

The third proportional to 203,206.50 and 316,444.50 is: 492,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,206.50 : 316,444.50 = 316,444.50 : x
  2. Step 2: Convert to fraction form
    203,206.50/316,444.50 = 316,444.50/x
  3. Step 3: Cross multiply
    203,206.50x = 316,444.50 × 316,444.50
  4. Step 4: Simplify right side
    203,206.50x = 100,137,121,580.25
  5. Step 5: Solve for x
    x = 100,137,121,580.25/203,206.50
  6. Step 6: Final answer
    x = 492,785.03

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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.