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Finding the Third Proportional to 7,830 and 17,631

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Solution

The third proportional to 7,830 and 17,631 is: 39,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 17,631 = 17,631 : x
  2. Step 2: Convert to fraction form
    7,830/17,631 = 17,631/x
  3. Step 3: Cross multiply
    7,830x = 17,631 × 17,631
  4. Step 4: Simplify right side
    7,830x = 310,852,161
  5. Step 5: Solve for x
    x = 310,852,161/7,830
  6. Step 6: Final answer
    x = 39,700.15

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.