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Finding the Third Proportional to 520,620.75 and 786,478.36

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Solution

The third proportional to 520,620.75 and 786,478.36 is: 1,188,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,620.75 : 786,478.36 = 786,478.36 : x
  2. Step 2: Convert to fraction form
    520,620.75/786,478.36 = 786,478.36/x
  3. Step 3: Cross multiply
    520,620.75x = 786,478.36 × 786,478.36
  4. Step 4: Simplify right side
    520,620.75x = 618,548,209,765.19
  5. Step 5: Solve for x
    x = 618,548,209,765.19/520,620.75
  6. Step 6: Final answer
    x = 1,188,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.