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Finding the Third Proportional to 198,018 and 262,575

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Solution

The third proportional to 198,018 and 262,575 is: 348,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,018 : 262,575 = 262,575 : x
  2. Step 2: Convert to fraction form
    198,018/262,575 = 262,575/x
  3. Step 3: Cross multiply
    198,018x = 262,575 × 262,575
  4. Step 4: Simplify right side
    198,018x = 68,945,630,625
  5. Step 5: Solve for x
    x = 68,945,630,625/198,018
  6. Step 6: Final answer
    x = 348,178.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.