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Finding the Third Proportional to 422,415 and 648,405

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Solution

The third proportional to 422,415 and 648,405 is: 995,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,415 : 648,405 = 648,405 : x
  2. Step 2: Convert to fraction form
    422,415/648,405 = 648,405/x
  3. Step 3: Cross multiply
    422,415x = 648,405 × 648,405
  4. Step 4: Simplify right side
    422,415x = 420,429,044,025
  5. Step 5: Solve for x
    x = 420,429,044,025/422,415
  6. Step 6: Final answer
    x = 995,298.57

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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.