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Finding the Third Proportional to 204,211.13 and 548,663.63

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Solution

The third proportional to 204,211.13 and 548,663.63 is: 1,474,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 548,663.63 = 548,663.63 : x
  2. Step 2: Convert to fraction form
    204,211.13/548,663.63 = 548,663.63/x
  3. Step 3: Cross multiply
    204,211.13x = 548,663.63 × 548,663.63
  4. Step 4: Simplify right side
    204,211.13x = 301,031,773,398.14
  5. Step 5: Solve for x
    x = 301,031,773,398.14/204,211.13
  6. Step 6: Final answer
    x = 1,474,120.34

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.