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Finding the Third Proportional to 114,548 and 163,626

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Solution

The third proportional to 114,548 and 163,626 is: 233,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,548 : 163,626 = 163,626 : x
  2. Step 2: Convert to fraction form
    114,548/163,626 = 163,626/x
  3. Step 3: Cross multiply
    114,548x = 163,626 × 163,626
  4. Step 4: Simplify right side
    114,548x = 26,773,467,876
  5. Step 5: Solve for x
    x = 26,773,467,876/114,548
  6. Step 6: Final answer
    x = 233,731.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.