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Finding the Third Proportional to 7,830 and 18,069

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Solution

The third proportional to 7,830 and 18,069 is: 41,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 18,069 = 18,069 : x
  2. Step 2: Convert to fraction form
    7,830/18,069 = 18,069/x
  3. Step 3: Cross multiply
    7,830x = 18,069 × 18,069
  4. Step 4: Simplify right side
    7,830x = 326,488,761
  5. Step 5: Solve for x
    x = 326,488,761/7,830
  6. Step 6: Final answer
    x = 41,697.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.