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Finding the Third Proportional to 254,005 and 393,515

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Solution

The third proportional to 254,005 and 393,515 is: 609,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,005 : 393,515 = 393,515 : x
  2. Step 2: Convert to fraction form
    254,005/393,515 = 393,515/x
  3. Step 3: Cross multiply
    254,005x = 393,515 × 393,515
  4. Step 4: Simplify right side
    254,005x = 154,854,055,225
  5. Step 5: Solve for x
    x = 154,854,055,225/254,005
  6. Step 6: Final answer
    x = 609,649.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.