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Finding the Third Proportional to 38,688 and 61,824

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Solution

The third proportional to 38,688 and 61,824 is: 98,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,688 : 61,824 = 61,824 : x
  2. Step 2: Convert to fraction form
    38,688/61,824 = 61,824/x
  3. Step 3: Cross multiply
    38,688x = 61,824 × 61,824
  4. Step 4: Simplify right side
    38,688x = 3,822,206,976
  5. Step 5: Solve for x
    x = 3,822,206,976/38,688
  6. Step 6: Final answer
    x = 98,795.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.