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Finding the Third Proportional to 173,820 and 262,575

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Solution

The third proportional to 173,820 and 262,575 is: 396,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,820 : 262,575 = 262,575 : x
  2. Step 2: Convert to fraction form
    173,820/262,575 = 262,575/x
  3. Step 3: Cross multiply
    173,820x = 262,575 × 262,575
  4. Step 4: Simplify right side
    173,820x = 68,945,630,625
  5. Step 5: Solve for x
    x = 68,945,630,625/173,820
  6. Step 6: Final answer
    x = 396,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.