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Finding the Third Proportional to 123,239 and 252,319

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Solution

The third proportional to 123,239 and 252,319 is: 516,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,239 : 252,319 = 252,319 : x
  2. Step 2: Convert to fraction form
    123,239/252,319 = 252,319/x
  3. Step 3: Cross multiply
    123,239x = 252,319 × 252,319
  4. Step 4: Simplify right side
    123,239x = 63,664,877,761
  5. Step 5: Solve for x
    x = 63,664,877,761/123,239
  6. Step 6: Final answer
    x = 516,596.84

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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.