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Finding the Third Proportional to 18,769 and 40,783

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Solution

The third proportional to 18,769 and 40,783 is: 88,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,769 : 40,783 = 40,783 : x
  2. Step 2: Convert to fraction form
    18,769/40,783 = 40,783/x
  3. Step 3: Cross multiply
    18,769x = 40,783 × 40,783
  4. Step 4: Simplify right side
    18,769x = 1,663,253,089
  5. Step 5: Solve for x
    x = 1,663,253,089/18,769
  6. Step 6: Final answer
    x = 88,617.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.