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Finding the Third Proportional to 38,688 and 57,888

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Solution

The third proportional to 38,688 and 57,888 is: 86,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,688 : 57,888 = 57,888 : x
  2. Step 2: Convert to fraction form
    38,688/57,888 = 57,888/x
  3. Step 3: Cross multiply
    38,688x = 57,888 × 57,888
  4. Step 4: Simplify right side
    38,688x = 3,351,020,544
  5. Step 5: Solve for x
    x = 3,351,020,544/38,688
  6. Step 6: Final answer
    x = 86,616.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.