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Finding the Third Proportional to 520,625.25 and 786,485.25

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Solution

The third proportional to 520,625.25 and 786,485.25 is: 1,188,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,625.25 : 786,485.25 = 786,485.25 : x
  2. Step 2: Convert to fraction form
    520,625.25/786,485.25 = 786,485.25/x
  3. Step 3: Cross multiply
    520,625.25x = 786,485.25 × 786,485.25
  4. Step 4: Simplify right side
    520,625.25x = 618,559,048,467.56
  5. Step 5: Solve for x
    x = 618,559,048,467.56/520,625.25
  6. Step 6: Final answer
    x = 1,188,108.05

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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.