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Finding the Third Proportional to 19,090 and 38,717

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Solution

The third proportional to 19,090 and 38,717 is: 78,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090 : 38,717 = 38,717 : x
  2. Step 2: Convert to fraction form
    19,090/38,717 = 38,717/x
  3. Step 3: Cross multiply
    19,090x = 38,717 × 38,717
  4. Step 4: Simplify right side
    19,090x = 1,499,006,089
  5. Step 5: Solve for x
    x = 1,499,006,089/19,090
  6. Step 6: Final answer
    x = 78,523.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.