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Finding the Third Proportional to 32,103.50 and 68,365

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Solution

The third proportional to 32,103.50 and 68,365 is: 145,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.50 : 68,365 = 68,365 : x
  2. Step 2: Convert to fraction form
    32,103.50/68,365 = 68,365/x
  3. Step 3: Cross multiply
    32,103.50x = 68,365 × 68,365
  4. Step 4: Simplify right side
    32,103.50x = 4,673,773,225
  5. Step 5: Solve for x
    x = 4,673,773,225/32,103.50
  6. Step 6: Final answer
    x = 145,584.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.