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Finding the Third Proportional to 23,776 and 50,455

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Solution

The third proportional to 23,776 and 50,455 is: 107,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 50,455 = 50,455 : x
  2. Step 2: Convert to fraction form
    23,776/50,455 = 50,455/x
  3. Step 3: Cross multiply
    23,776x = 50,455 × 50,455
  4. Step 4: Simplify right side
    23,776x = 2,545,707,025
  5. Step 5: Solve for x
    x = 2,545,707,025/23,776
  6. Step 6: Final answer
    x = 107,070.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.