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Finding the Third Proportional to 121,416 and 260,376

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Solution

The third proportional to 121,416 and 260,376 is: 558,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,416 : 260,376 = 260,376 : x
  2. Step 2: Convert to fraction form
    121,416/260,376 = 260,376/x
  3. Step 3: Cross multiply
    121,416x = 260,376 × 260,376
  4. Step 4: Simplify right side
    121,416x = 67,795,661,376
  5. Step 5: Solve for x
    x = 67,795,661,376/121,416
  6. Step 6: Final answer
    x = 558,375.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.