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Finding the Third Proportional to 58,665 and 128,589

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Solution

The third proportional to 58,665 and 128,589 is: 281,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,665 : 128,589 = 128,589 : x
  2. Step 2: Convert to fraction form
    58,665/128,589 = 128,589/x
  3. Step 3: Cross multiply
    58,665x = 128,589 × 128,589
  4. Step 4: Simplify right side
    58,665x = 16,535,130,921
  5. Step 5: Solve for x
    x = 16,535,130,921/58,665
  6. Step 6: Final answer
    x = 281,856.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.