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Finding the Third Proportional to 38,347 and 89,639

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Solution

The third proportional to 38,347 and 89,639 is: 209,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,347 : 89,639 = 89,639 : x
  2. Step 2: Convert to fraction form
    38,347/89,639 = 89,639/x
  3. Step 3: Cross multiply
    38,347x = 89,639 × 89,639
  4. Step 4: Simplify right side
    38,347x = 8,035,150,321
  5. Step 5: Solve for x
    x = 8,035,150,321/38,347
  6. Step 6: Final answer
    x = 209,537.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.