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Finding the Third Proportional to 38,688 and 90,861

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Solution

The third proportional to 38,688 and 90,861 is: 213,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,688 : 90,861 = 90,861 : x
  2. Step 2: Convert to fraction form
    38,688/90,861 = 90,861/x
  3. Step 3: Cross multiply
    38,688x = 90,861 × 90,861
  4. Step 4: Simplify right side
    38,688x = 8,255,721,321
  5. Step 5: Solve for x
    x = 8,255,721,321/38,688
  6. Step 6: Final answer
    x = 213,392.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.