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Finding the Third Proportional to 478,408.50 and 650,004.75

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Solution

The third proportional to 478,408.50 and 650,004.75 is: 883,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,408.50 : 650,004.75 = 650,004.75 : x
  2. Step 2: Convert to fraction form
    478,408.50/650,004.75 = 650,004.75/x
  3. Step 3: Cross multiply
    478,408.50x = 650,004.75 × 650,004.75
  4. Step 4: Simplify right side
    478,408.50x = 422,506,175,022.56
  5. Step 5: Solve for x
    x = 422,506,175,022.56/478,408.50
  6. Step 6: Final answer
    x = 883,149.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.