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Finding the Third Proportional to 520,876 and 1,115,480

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Solution

The third proportional to 520,876 and 1,115,480 is: 2,388,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,876 : 1,115,480 = 1,115,480 : x
  2. Step 2: Convert to fraction form
    520,876/1,115,480 = 1,115,480/x
  3. Step 3: Cross multiply
    520,876x = 1,115,480 × 1,115,480
  4. Step 4: Simplify right side
    520,876x = 1,244,295,630,400
  5. Step 5: Solve for x
    x = 1,244,295,630,400/520,876
  6. Step 6: Final answer
    x = 2,388,851.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.