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Finding the Third Proportional to 519,512 and 780,778

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Solution

The third proportional to 519,512 and 780,778 is: 1,173,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,512 : 780,778 = 780,778 : x
  2. Step 2: Convert to fraction form
    519,512/780,778 = 780,778/x
  3. Step 3: Cross multiply
    519,512x = 780,778 × 780,778
  4. Step 4: Simplify right side
    519,512x = 609,614,285,284
  5. Step 5: Solve for x
    x = 609,614,285,284/519,512
  6. Step 6: Final answer
    x = 1,173,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.