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Finding the Third Proportional to 121,413 and 247,644

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Solution

The third proportional to 121,413 and 247,644 is: 505,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413 : 247,644 = 247,644 : x
  2. Step 2: Convert to fraction form
    121,413/247,644 = 247,644/x
  3. Step 3: Cross multiply
    121,413x = 247,644 × 247,644
  4. Step 4: Simplify right side
    121,413x = 61,327,550,736
  5. Step 5: Solve for x
    x = 61,327,550,736/121,413
  6. Step 6: Final answer
    x = 505,115.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.