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Finding the Third Proportional to 427,122 and 655,155

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Solution

The third proportional to 427,122 and 655,155 is: 1,004,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,122 : 655,155 = 655,155 : x
  2. Step 2: Convert to fraction form
    427,122/655,155 = 655,155/x
  3. Step 3: Cross multiply
    427,122x = 655,155 × 655,155
  4. Step 4: Simplify right side
    427,122x = 429,228,074,025
  5. Step 5: Solve for x
    x = 429,228,074,025/427,122
  6. Step 6: Final answer
    x = 1,004,930.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.