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Finding the Third Proportional to 351,684 and 519,798

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Solution

The third proportional to 351,684 and 519,798 is: 768,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,684 : 519,798 = 519,798 : x
  2. Step 2: Convert to fraction form
    351,684/519,798 = 519,798/x
  3. Step 3: Cross multiply
    351,684x = 519,798 × 519,798
  4. Step 4: Simplify right side
    351,684x = 270,189,960,804
  5. Step 5: Solve for x
    x = 270,189,960,804/351,684
  6. Step 6: Final answer
    x = 768,274.82

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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.