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Finding the Third Proportional to 217,314 and 345,788

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Solution

The third proportional to 217,314 and 345,788 is: 550,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,314 : 345,788 = 345,788 : x
  2. Step 2: Convert to fraction form
    217,314/345,788 = 345,788/x
  3. Step 3: Cross multiply
    217,314x = 345,788 × 345,788
  4. Step 4: Simplify right side
    217,314x = 119,569,340,944
  5. Step 5: Solve for x
    x = 119,569,340,944/217,314
  6. Step 6: Final answer
    x = 550,214.62

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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.