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Finding the Third Proportional to 509,763 and 1,041,720

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Solution

The third proportional to 509,763 and 1,041,720 is: 2,128,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,763 : 1,041,720 = 1,041,720 : x
  2. Step 2: Convert to fraction form
    509,763/1,041,720 = 1,041,720/x
  3. Step 3: Cross multiply
    509,763x = 1,041,720 × 1,041,720
  4. Step 4: Simplify right side
    509,763x = 1,085,180,558,400
  5. Step 5: Solve for x
    x = 1,085,180,558,400/509,763
  6. Step 6: Final answer
    x = 2,128,794.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.