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Finding the Third Proportional to 61,560 and 87,912

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Solution

The third proportional to 61,560 and 87,912 is: 125,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,560 : 87,912 = 87,912 : x
  2. Step 2: Convert to fraction form
    61,560/87,912 = 87,912/x
  3. Step 3: Cross multiply
    61,560x = 87,912 × 87,912
  4. Step 4: Simplify right side
    61,560x = 7,728,519,744
  5. Step 5: Solve for x
    x = 7,728,519,744/61,560
  6. Step 6: Final answer
    x = 125,544.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.