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Finding the Third Proportional to 39,390 and 85,425

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Solution

The third proportional to 39,390 and 85,425 is: 185,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,390 : 85,425 = 85,425 : x
  2. Step 2: Convert to fraction form
    39,390/85,425 = 85,425/x
  3. Step 3: Cross multiply
    39,390x = 85,425 × 85,425
  4. Step 4: Simplify right side
    39,390x = 7,297,430,625
  5. Step 5: Solve for x
    x = 7,297,430,625/39,390
  6. Step 6: Final answer
    x = 185,261.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.