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Finding the Third Proportional to 519,780 and 777,512.75

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Solution

The third proportional to 519,780 and 777,512.75 is: 1,163,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,780 : 777,512.75 = 777,512.75 : x
  2. Step 2: Convert to fraction form
    519,780/777,512.75 = 777,512.75/x
  3. Step 3: Cross multiply
    519,780x = 777,512.75 × 777,512.75
  4. Step 4: Simplify right side
    519,780x = 604,526,076,412.56
  5. Step 5: Solve for x
    x = 604,526,076,412.56/519,780
  6. Step 6: Final answer
    x = 1,163,042.20

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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.