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Finding the Third Proportional to 129,655 and 268,310

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Solution

The third proportional to 129,655 and 268,310 is: 555,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,655 : 268,310 = 268,310 : x
  2. Step 2: Convert to fraction form
    129,655/268,310 = 268,310/x
  3. Step 3: Cross multiply
    129,655x = 268,310 × 268,310
  4. Step 4: Simplify right side
    129,655x = 71,990,256,100
  5. Step 5: Solve for x
    x = 71,990,256,100/129,655
  6. Step 6: Final answer
    x = 555,244.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.