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Finding the Third Proportional to 58,578 and 128,816

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Solution

The third proportional to 58,578 and 128,816 is: 283,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,578 : 128,816 = 128,816 : x
  2. Step 2: Convert to fraction form
    58,578/128,816 = 128,816/x
  3. Step 3: Cross multiply
    58,578x = 128,816 × 128,816
  4. Step 4: Simplify right side
    58,578x = 16,593,561,856
  5. Step 5: Solve for x
    x = 16,593,561,856/58,578
  6. Step 6: Final answer
    x = 283,272.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.