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Finding the Third Proportional to 520,880 and 782,708

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Solution

The third proportional to 520,880 and 782,708 is: 1,176,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,880 : 782,708 = 782,708 : x
  2. Step 2: Convert to fraction form
    520,880/782,708 = 782,708/x
  3. Step 3: Cross multiply
    520,880x = 782,708 × 782,708
  4. Step 4: Simplify right side
    520,880x = 612,631,813,264
  5. Step 5: Solve for x
    x = 612,631,813,264/520,880
  6. Step 6: Final answer
    x = 1,176,147.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.