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Finding the Third Proportional to 455,150 and 655,615

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Solution

The third proportional to 455,150 and 655,615 is: 944,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,150 : 655,615 = 655,615 : x
  2. Step 2: Convert to fraction form
    455,150/655,615 = 655,615/x
  3. Step 3: Cross multiply
    455,150x = 655,615 × 655,615
  4. Step 4: Simplify right side
    455,150x = 429,831,028,225
  5. Step 5: Solve for x
    x = 429,831,028,225/455,150
  6. Step 6: Final answer
    x = 944,372.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.