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Finding the Third Proportional to 540,276.75 and 782,520.75

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Solution

The third proportional to 540,276.75 and 782,520.75 is: 1,133,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,276.75 : 782,520.75 = 782,520.75 : x
  2. Step 2: Convert to fraction form
    540,276.75/782,520.75 = 782,520.75/x
  3. Step 3: Cross multiply
    540,276.75x = 782,520.75 × 782,520.75
  4. Step 4: Simplify right side
    540,276.75x = 612,338,724,180.56
  5. Step 5: Solve for x
    x = 612,338,724,180.56/540,276.75
  6. Step 6: Final answer
    x = 1,133,379.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.