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Finding the Third Proportional to 62,586 and 128,088

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Solution

The third proportional to 62,586 and 128,088 is: 262,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,586 : 128,088 = 128,088 : x
  2. Step 2: Convert to fraction form
    62,586/128,088 = 128,088/x
  3. Step 3: Cross multiply
    62,586x = 128,088 × 128,088
  4. Step 4: Simplify right side
    62,586x = 16,406,535,744
  5. Step 5: Solve for x
    x = 16,406,535,744/62,586
  6. Step 6: Final answer
    x = 262,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.