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Finding the Third Proportional to 63,888 and 134,396

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Solution

The third proportional to 63,888 and 134,396 is: 282,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,888 : 134,396 = 134,396 : x
  2. Step 2: Convert to fraction form
    63,888/134,396 = 134,396/x
  3. Step 3: Cross multiply
    63,888x = 134,396 × 134,396
  4. Step 4: Simplify right side
    63,888x = 18,062,284,816
  5. Step 5: Solve for x
    x = 18,062,284,816/63,888
  6. Step 6: Final answer
    x = 282,717.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.