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Finding the Third Proportional to 175,128 and 263,988

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Solution

The third proportional to 175,128 and 263,988 is: 397,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,128 : 263,988 = 263,988 : x
  2. Step 2: Convert to fraction form
    175,128/263,988 = 263,988/x
  3. Step 3: Cross multiply
    175,128x = 263,988 × 263,988
  4. Step 4: Simplify right side
    175,128x = 69,689,664,144
  5. Step 5: Solve for x
    x = 69,689,664,144/175,128
  6. Step 6: Final answer
    x = 397,935.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.