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Finding the Third Proportional to 126,459 and 264,609

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Solution

The third proportional to 126,459 and 264,609 is: 553,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,459 : 264,609 = 264,609 : x
  2. Step 2: Convert to fraction form
    126,459/264,609 = 264,609/x
  3. Step 3: Cross multiply
    126,459x = 264,609 × 264,609
  4. Step 4: Simplify right side
    126,459x = 70,017,922,881
  5. Step 5: Solve for x
    x = 70,017,922,881/126,459
  6. Step 6: Final answer
    x = 553,680.82

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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.