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Finding the Third Proportional to 203,612.50 and 310,683.75

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Solution

The third proportional to 203,612.50 and 310,683.75 is: 474,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,612.50 : 310,683.75 = 310,683.75 : x
  2. Step 2: Convert to fraction form
    203,612.50/310,683.75 = 310,683.75/x
  3. Step 3: Cross multiply
    203,612.50x = 310,683.75 × 310,683.75
  4. Step 4: Simplify right side
    203,612.50x = 96,524,392,514.06
  5. Step 5: Solve for x
    x = 96,524,392,514.06/203,612.50
  6. Step 6: Final answer
    x = 474,059.27

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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.