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Finding the Third Proportional to 422,475.75 and 648,475.88

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Solution

The third proportional to 422,475.75 and 648,475.88 is: 995,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,475.75 : 648,475.88 = 648,475.88 : x
  2. Step 2: Convert to fraction form
    422,475.75/648,475.88 = 648,475.88/x
  3. Step 3: Cross multiply
    422,475.75x = 648,475.88 × 648,475.88
  4. Step 4: Simplify right side
    422,475.75x = 420,520,960,457.02
  5. Step 5: Solve for x
    x = 420,520,960,457.02/422,475.75
  6. Step 6: Final answer
    x = 995,373.01

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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.