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Finding the Third Proportional to 268,302 and 558,636

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Solution

The third proportional to 268,302 and 558,636 is: 1,163,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,302 : 558,636 = 558,636 : x
  2. Step 2: Convert to fraction form
    268,302/558,636 = 558,636/x
  3. Step 3: Cross multiply
    268,302x = 558,636 × 558,636
  4. Step 4: Simplify right side
    268,302x = 312,074,180,496
  5. Step 5: Solve for x
    x = 312,074,180,496/268,302
  6. Step 6: Final answer
    x = 1,163,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.