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Finding the Third Proportional to 209,240 and 268,658

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Solution

The third proportional to 209,240 and 268,658 is: 344,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,240 : 268,658 = 268,658 : x
  2. Step 2: Convert to fraction form
    209,240/268,658 = 268,658/x
  3. Step 3: Cross multiply
    209,240x = 268,658 × 268,658
  4. Step 4: Simplify right side
    209,240x = 72,177,120,964
  5. Step 5: Solve for x
    x = 72,177,120,964/209,240
  6. Step 6: Final answer
    x = 344,948.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.