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Finding the Third Proportional to 58,578 and 127,760

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Solution

The third proportional to 58,578 and 127,760 is: 278,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,578 : 127,760 = 127,760 : x
  2. Step 2: Convert to fraction form
    58,578/127,760 = 127,760/x
  3. Step 3: Cross multiply
    58,578x = 127,760 × 127,760
  4. Step 4: Simplify right side
    58,578x = 16,322,617,600
  5. Step 5: Solve for x
    x = 16,322,617,600/58,578
  6. Step 6: Final answer
    x = 278,647.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.