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Finding the Third Proportional to 209,747 and 296,508

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Solution

The third proportional to 209,747 and 296,508 is: 419,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,747 : 296,508 = 296,508 : x
  2. Step 2: Convert to fraction form
    209,747/296,508 = 296,508/x
  3. Step 3: Cross multiply
    209,747x = 296,508 × 296,508
  4. Step 4: Simplify right side
    209,747x = 87,916,994,064
  5. Step 5: Solve for x
    x = 87,916,994,064/209,747
  6. Step 6: Final answer
    x = 419,157.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.