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Finding the Third Proportional to 687,372.75 and 1,510,147.13

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Solution

The third proportional to 687,372.75 and 1,510,147.13 is: 3,317,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,372.75 : 1,510,147.13 = 1,510,147.13 : x
  2. Step 2: Convert to fraction form
    687,372.75/1,510,147.13 = 1,510,147.13/x
  3. Step 3: Cross multiply
    687,372.75x = 1,510,147.13 × 1,510,147.13
  4. Step 4: Simplify right side
    687,372.75x = 2,280,544,339,145.77
  5. Step 5: Solve for x
    x = 2,280,544,339,145.77/687,372.75
  6. Step 6: Final answer
    x = 3,317,769.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.