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Finding the Third Proportional to 71,936 and 108,903.50

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Solution

The third proportional to 71,936 and 108,903.50 is: 164,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,936 : 108,903.50 = 108,903.50 : x
  2. Step 2: Convert to fraction form
    71,936/108,903.50 = 108,903.50/x
  3. Step 3: Cross multiply
    71,936x = 108,903.50 × 108,903.50
  4. Step 4: Simplify right side
    71,936x = 11,859,972,312.25
  5. Step 5: Solve for x
    x = 11,859,972,312.25/71,936
  6. Step 6: Final answer
    x = 164,868.39

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