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Finding the Third Proportional to 520,085 and 1,135,880

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Solution

The third proportional to 520,085 and 1,135,880 is: 2,480,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085 : 1,135,880 = 1,135,880 : x
  2. Step 2: Convert to fraction form
    520,085/1,135,880 = 1,135,880/x
  3. Step 3: Cross multiply
    520,085x = 1,135,880 × 1,135,880
  4. Step 4: Simplify right side
    520,085x = 1,290,223,374,400
  5. Step 5: Solve for x
    x = 1,290,223,374,400/520,085
  6. Step 6: Final answer
    x = 2,480,793.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.