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Finding the Third Proportional to 71,475 and 104,825.25

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Solution

The third proportional to 71,475 and 104,825.25 is: 153,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475 : 104,825.25 = 104,825.25 : x
  2. Step 2: Convert to fraction form
    71,475/104,825.25 = 104,825.25/x
  3. Step 3: Cross multiply
    71,475x = 104,825.25 × 104,825.25
  4. Step 4: Simplify right side
    71,475x = 10,988,333,037.56
  5. Step 5: Solve for x
    x = 10,988,333,037.56/71,475
  6. Step 6: Final answer
    x = 153,736.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.