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Finding the Third Proportional to 221,762.81 and 339,296.34

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Solution

The third proportional to 221,762.81 and 339,296.34 is: 519,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,762.81 : 339,296.34 = 339,296.34 : x
  2. Step 2: Convert to fraction form
    221,762.81/339,296.34 = 339,296.34/x
  3. Step 3: Cross multiply
    221,762.81x = 339,296.34 × 339,296.34
  4. Step 4: Simplify right side
    221,762.81x = 115,122,008,882.12
  5. Step 5: Solve for x
    x = 115,122,008,882.12/221,762.81
  6. Step 6: Final answer
    x = 519,122.24

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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.