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Finding the Third Proportional to 64,066 and 95,575

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Solution

The third proportional to 64,066 and 95,575 is: 142,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,066 : 95,575 = 95,575 : x
  2. Step 2: Convert to fraction form
    64,066/95,575 = 95,575/x
  3. Step 3: Cross multiply
    64,066x = 95,575 × 95,575
  4. Step 4: Simplify right side
    64,066x = 9,134,580,625
  5. Step 5: Solve for x
    x = 9,134,580,625/64,066
  6. Step 6: Final answer
    x = 142,580.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.