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Finding the Third Proportional to 211,575 and 324,076.50

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Solution

The third proportional to 211,575 and 324,076.50 is: 496,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,575 : 324,076.50 = 324,076.50 : x
  2. Step 2: Convert to fraction form
    211,575/324,076.50 = 324,076.50/x
  3. Step 3: Cross multiply
    211,575x = 324,076.50 × 324,076.50
  4. Step 4: Simplify right side
    211,575x = 105,025,577,852.25
  5. Step 5: Solve for x
    x = 105,025,577,852.25/211,575
  6. Step 6: Final answer
    x = 496,398.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.