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Finding the Third Proportional to 81,202.50 and 189,783

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Solution

The third proportional to 81,202.50 and 189,783 is: 443,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202.50 : 189,783 = 189,783 : x
  2. Step 2: Convert to fraction form
    81,202.50/189,783 = 189,783/x
  3. Step 3: Cross multiply
    81,202.50x = 189,783 × 189,783
  4. Step 4: Simplify right side
    81,202.50x = 36,017,587,089
  5. Step 5: Solve for x
    x = 36,017,587,089/81,202.50
  6. Step 6: Final answer
    x = 443,552.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.