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Finding the Third Proportional to 18,523 and 38,342

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Solution

The third proportional to 18,523 and 38,342 is: 79,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523 : 38,342 = 38,342 : x
  2. Step 2: Convert to fraction form
    18,523/38,342 = 38,342/x
  3. Step 3: Cross multiply
    18,523x = 38,342 × 38,342
  4. Step 4: Simplify right side
    18,523x = 1,470,108,964
  5. Step 5: Solve for x
    x = 1,470,108,964/18,523
  6. Step 6: Final answer
    x = 79,366.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.