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Finding the Third Proportional to 19,678 and 36,487

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Solution

The third proportional to 19,678 and 36,487 is: 67,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678 : 36,487 = 36,487 : x
  2. Step 2: Convert to fraction form
    19,678/36,487 = 36,487/x
  3. Step 3: Cross multiply
    19,678x = 36,487 × 36,487
  4. Step 4: Simplify right side
    19,678x = 1,331,301,169
  5. Step 5: Solve for x
    x = 1,331,301,169/19,678
  6. Step 6: Final answer
    x = 67,654.29

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.