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Finding the Third Proportional to 520,622 and 786,480

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Solution

The third proportional to 520,622 and 786,480 is: 1,188,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,622 : 786,480 = 786,480 : x
  2. Step 2: Convert to fraction form
    520,622/786,480 = 786,480/x
  3. Step 3: Cross multiply
    520,622x = 786,480 × 786,480
  4. Step 4: Simplify right side
    520,622x = 618,550,790,400
  5. Step 5: Solve for x
    x = 618,550,790,400/520,622
  6. Step 6: Final answer
    x = 1,188,099.60

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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.