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Finding the Third Proportional to 318,003 and 430,348.50

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Solution

The third proportional to 318,003 and 430,348.50 is: 582,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,003 : 430,348.50 = 430,348.50 : x
  2. Step 2: Convert to fraction form
    318,003/430,348.50 = 430,348.50/x
  3. Step 3: Cross multiply
    318,003x = 430,348.50 × 430,348.50
  4. Step 4: Simplify right side
    318,003x = 185,199,831,452.25
  5. Step 5: Solve for x
    x = 185,199,831,452.25/318,003
  6. Step 6: Final answer
    x = 582,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.