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Finding the Third Proportional to 121,416 and 247,650

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Solution

The third proportional to 121,416 and 247,650 is: 505,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,416 : 247,650 = 247,650 : x
  2. Step 2: Convert to fraction form
    121,416/247,650 = 247,650/x
  3. Step 3: Cross multiply
    121,416x = 247,650 × 247,650
  4. Step 4: Simplify right side
    121,416x = 61,330,522,500
  5. Step 5: Solve for x
    x = 61,330,522,500/121,416
  6. Step 6: Final answer
    x = 505,127.19

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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.