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Finding the Third Proportional to 38,207 and 81,335

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Solution

The third proportional to 38,207 and 81,335 is: 173,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207 : 81,335 = 81,335 : x
  2. Step 2: Convert to fraction form
    38,207/81,335 = 81,335/x
  3. Step 3: Cross multiply
    38,207x = 81,335 × 81,335
  4. Step 4: Simplify right side
    38,207x = 6,615,382,225
  5. Step 5: Solve for x
    x = 6,615,382,225/38,207
  6. Step 6: Final answer
    x = 173,145.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.