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Finding the Third Proportional to 38,638 and 81,428

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Solution

The third proportional to 38,638 and 81,428 is: 171,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638 : 81,428 = 81,428 : x
  2. Step 2: Convert to fraction form
    38,638/81,428 = 81,428/x
  3. Step 3: Cross multiply
    38,638x = 81,428 × 81,428
  4. Step 4: Simplify right side
    38,638x = 6,630,519,184
  5. Step 5: Solve for x
    x = 6,630,519,184/38,638
  6. Step 6: Final answer
    x = 171,606.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.