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Finding the Third Proportional to 217,341 and 345,829

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Solution

The third proportional to 217,341 and 345,829 is: 550,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,341 : 345,829 = 345,829 : x
  2. Step 2: Convert to fraction form
    217,341/345,829 = 345,829/x
  3. Step 3: Cross multiply
    217,341x = 345,829 × 345,829
  4. Step 4: Simplify right side
    217,341x = 119,597,697,241
  5. Step 5: Solve for x
    x = 119,597,697,241/217,341
  6. Step 6: Final answer
    x = 550,276.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.