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Finding the Third Proportional to 59,800 and 128,816

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Solution

The third proportional to 59,800 and 128,816 is: 277,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,800 : 128,816 = 128,816 : x
  2. Step 2: Convert to fraction form
    59,800/128,816 = 128,816/x
  3. Step 3: Cross multiply
    59,800x = 128,816 × 128,816
  4. Step 4: Simplify right side
    59,800x = 16,593,561,856
  5. Step 5: Solve for x
    x = 16,593,561,856/59,800
  6. Step 6: Final answer
    x = 277,484.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.