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Finding the Third Proportional to 123,309 and 252,444

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Solution

The third proportional to 123,309 and 252,444 is: 516,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,309 : 252,444 = 252,444 : x
  2. Step 2: Convert to fraction form
    123,309/252,444 = 252,444/x
  3. Step 3: Cross multiply
    123,309x = 252,444 × 252,444
  4. Step 4: Simplify right side
    123,309x = 63,727,973,136
  5. Step 5: Solve for x
    x = 63,727,973,136/123,309
  6. Step 6: Final answer
    x = 516,815.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.