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Finding the Third Proportional to 133,020.56 and 206,539.03

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Solution

The third proportional to 133,020.56 and 206,539.03 is: 320,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,020.56 : 206,539.03 = 206,539.03 : x
  2. Step 2: Convert to fraction form
    133,020.56/206,539.03 = 206,539.03/x
  3. Step 3: Cross multiply
    133,020.56x = 206,539.03 × 206,539.03
  4. Step 4: Simplify right side
    133,020.56x = 42,658,371,429.69
  5. Step 5: Solve for x
    x = 42,658,371,429.69/133,020.56
  6. Step 6: Final answer
    x = 320,690.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.