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Finding the Third Proportional to 351,680 and 519,792

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Solution

The third proportional to 351,680 and 519,792 is: 768,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,680 : 519,792 = 519,792 : x
  2. Step 2: Convert to fraction form
    351,680/519,792 = 519,792/x
  3. Step 3: Cross multiply
    351,680x = 519,792 × 519,792
  4. Step 4: Simplify right side
    351,680x = 270,183,723,264
  5. Step 5: Solve for x
    x = 270,183,723,264/351,680
  6. Step 6: Final answer
    x = 768,265.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.