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Finding the Third Proportional to 59,159 and 128,686

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Solution

The third proportional to 59,159 and 128,686 is: 279,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,159 : 128,686 = 128,686 : x
  2. Step 2: Convert to fraction form
    59,159/128,686 = 128,686/x
  3. Step 3: Cross multiply
    59,159x = 128,686 × 128,686
  4. Step 4: Simplify right side
    59,159x = 16,560,086,596
  5. Step 5: Solve for x
    x = 16,560,086,596/59,159
  6. Step 6: Final answer
    x = 279,925.06

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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.