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Finding the Third Proportional to 520,647.75 and 786,520.13

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Solution

The third proportional to 520,647.75 and 786,520.13 is: 1,188,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,647.75 : 786,520.13 = 786,520.13 : x
  2. Step 2: Convert to fraction form
    520,647.75/786,520.13 = 786,520.13/x
  3. Step 3: Cross multiply
    520,647.75x = 786,520.13 × 786,520.13
  4. Step 4: Simplify right side
    520,647.75x = 618,613,907,030.02
  5. Step 5: Solve for x
    x = 618,613,907,030.02/520,647.75
  6. Step 6: Final answer
    x = 1,188,162.07

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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.