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Finding the Third Proportional to 18,789 and 26,429

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Solution

The third proportional to 18,789 and 26,429 is: 37,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,789 : 26,429 = 26,429 : x
  2. Step 2: Convert to fraction form
    18,789/26,429 = 26,429/x
  3. Step 3: Cross multiply
    18,789x = 26,429 × 26,429
  4. Step 4: Simplify right side
    18,789x = 698,492,041
  5. Step 5: Solve for x
    x = 698,492,041/18,789
  6. Step 6: Final answer
    x = 37,175.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.