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Finding the Third Proportional to 62,592 and 128,100

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Solution

The third proportional to 62,592 and 128,100 is: 262,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,592 : 128,100 = 128,100 : x
  2. Step 2: Convert to fraction form
    62,592/128,100 = 128,100/x
  3. Step 3: Cross multiply
    62,592x = 128,100 × 128,100
  4. Step 4: Simplify right side
    62,592x = 16,409,610,000
  5. Step 5: Solve for x
    x = 16,409,610,000/62,592
  6. Step 6: Final answer
    x = 262,167.85

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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.