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Finding the Third Proportional to 32,759 and 68,109.50

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Solution

The third proportional to 32,759 and 68,109.50 is: 141,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759 : 68,109.50 = 68,109.50 : x
  2. Step 2: Convert to fraction form
    32,759/68,109.50 = 68,109.50/x
  3. Step 3: Cross multiply
    32,759x = 68,109.50 × 68,109.50
  4. Step 4: Simplify right side
    32,759x = 4,638,903,990.25
  5. Step 5: Solve for x
    x = 4,638,903,990.25/32,759
  6. Step 6: Final answer
    x = 141,607.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.