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Finding the Third Proportional to 59,144 and 128,236

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Solution

The third proportional to 59,144 and 128,236 is: 278,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,144 : 128,236 = 128,236 : x
  2. Step 2: Convert to fraction form
    59,144/128,236 = 128,236/x
  3. Step 3: Cross multiply
    59,144x = 128,236 × 128,236
  4. Step 4: Simplify right side
    59,144x = 16,444,471,696
  5. Step 5: Solve for x
    x = 16,444,471,696/59,144
  6. Step 6: Final answer
    x = 278,041.25

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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.