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Finding the Third Proportional to 50,010 and 74,475

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Solution

The third proportional to 50,010 and 74,475 is: 110,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,010 : 74,475 = 74,475 : x
  2. Step 2: Convert to fraction form
    50,010/74,475 = 74,475/x
  3. Step 3: Cross multiply
    50,010x = 74,475 × 74,475
  4. Step 4: Simplify right side
    50,010x = 5,546,525,625
  5. Step 5: Solve for x
    x = 5,546,525,625/50,010
  6. Step 6: Final answer
    x = 110,908.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.