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Finding the Third Proportional to 422,330 and 661,155

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Solution

The third proportional to 422,330 and 661,155 is: 1,035,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,330 : 661,155 = 661,155 : x
  2. Step 2: Convert to fraction form
    422,330/661,155 = 661,155/x
  3. Step 3: Cross multiply
    422,330x = 661,155 × 661,155
  4. Step 4: Simplify right side
    422,330x = 437,125,934,025
  5. Step 5: Solve for x
    x = 437,125,934,025/422,330
  6. Step 6: Final answer
    x = 1,035,034.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.