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Finding the Third Proportional to 50,768 and 74,419

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Solution

The third proportional to 50,768 and 74,419 is: 109,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,768 : 74,419 = 74,419 : x
  2. Step 2: Convert to fraction form
    50,768/74,419 = 74,419/x
  3. Step 3: Cross multiply
    50,768x = 74,419 × 74,419
  4. Step 4: Simplify right side
    50,768x = 5,538,187,561
  5. Step 5: Solve for x
    x = 5,538,187,561/50,768
  6. Step 6: Final answer
    x = 109,088.16

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Why These Related Problems?

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