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Finding the Third Proportional to 59,125 and 128,086

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Solution

The third proportional to 59,125 and 128,086 is: 277,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,125 : 128,086 = 128,086 : x
  2. Step 2: Convert to fraction form
    59,125/128,086 = 128,086/x
  3. Step 3: Cross multiply
    59,125x = 128,086 × 128,086
  4. Step 4: Simplify right side
    59,125x = 16,406,023,396
  5. Step 5: Solve for x
    x = 16,406,023,396/59,125
  6. Step 6: Final answer
    x = 277,480.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.