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Finding the Third Proportional to 120,650 and 252,308

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Solution

The third proportional to 120,650 and 252,308 is: 527,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,650 : 252,308 = 252,308 : x
  2. Step 2: Convert to fraction form
    120,650/252,308 = 252,308/x
  3. Step 3: Cross multiply
    120,650x = 252,308 × 252,308
  4. Step 4: Simplify right side
    120,650x = 63,659,326,864
  5. Step 5: Solve for x
    x = 63,659,326,864/120,650
  6. Step 6: Final answer
    x = 527,636.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.