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Finding the Third Proportional to 219,690 and 351,645

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Solution

The third proportional to 219,690 and 351,645 is: 562,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,690 : 351,645 = 351,645 : x
  2. Step 2: Convert to fraction form
    219,690/351,645 = 351,645/x
  3. Step 3: Cross multiply
    219,690x = 351,645 × 351,645
  4. Step 4: Simplify right side
    219,690x = 123,654,206,025
  5. Step 5: Solve for x
    x = 123,654,206,025/219,690
  6. Step 6: Final answer
    x = 562,857.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.