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Finding the Third Proportional to 520,452 and 1,204,773.75

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Solution

The third proportional to 520,452 and 1,204,773.75 is: 2,788,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,452 : 1,204,773.75 = 1,204,773.75 : x
  2. Step 2: Convert to fraction form
    520,452/1,204,773.75 = 1,204,773.75/x
  3. Step 3: Cross multiply
    520,452x = 1,204,773.75 × 1,204,773.75
  4. Step 4: Simplify right side
    520,452x = 1,451,479,788,689.06
  5. Step 5: Solve for x
    x = 1,451,479,788,689.06/520,452
  6. Step 6: Final answer
    x = 2,788,883.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.