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Finding the Third Proportional to 521,183.50 and 777,219.50

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Solution

The third proportional to 521,183.50 and 777,219.50 is: 1,159,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,183.50 : 777,219.50 = 777,219.50 : x
  2. Step 2: Convert to fraction form
    521,183.50/777,219.50 = 777,219.50/x
  3. Step 3: Cross multiply
    521,183.50x = 777,219.50 × 777,219.50
  4. Step 4: Simplify right side
    521,183.50x = 604,070,151,180.25
  5. Step 5: Solve for x
    x = 604,070,151,180.25/521,183.50
  6. Step 6: Final answer
    x = 1,159,035.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.