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Finding the Third Proportional to 59,906 and 128,559

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Solution

The third proportional to 59,906 and 128,559 is: 275,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,906 : 128,559 = 128,559 : x
  2. Step 2: Convert to fraction form
    59,906/128,559 = 128,559/x
  3. Step 3: Cross multiply
    59,906x = 128,559 × 128,559
  4. Step 4: Simplify right side
    59,906x = 16,527,416,481
  5. Step 5: Solve for x
    x = 16,527,416,481/59,906
  6. Step 6: Final answer
    x = 275,889.17

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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.