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Finding the Third Proportional to 219,792.75 and 342,530

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Solution

The third proportional to 219,792.75 and 342,530 is: 533,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,792.75 : 342,530 = 342,530 : x
  2. Step 2: Convert to fraction form
    219,792.75/342,530 = 342,530/x
  3. Step 3: Cross multiply
    219,792.75x = 342,530 × 342,530
  4. Step 4: Simplify right side
    219,792.75x = 117,326,800,900
  5. Step 5: Solve for x
    x = 117,326,800,900/219,792.75
  6. Step 6: Final answer
    x = 533,806.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.