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Finding the Third Proportional to 8,243 and 12,783

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Solution

The third proportional to 8,243 and 12,783 is: 19,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243 : 12,783 = 12,783 : x
  2. Step 2: Convert to fraction form
    8,243/12,783 = 12,783/x
  3. Step 3: Cross multiply
    8,243x = 12,783 × 12,783
  4. Step 4: Simplify right side
    8,243x = 163,405,089
  5. Step 5: Solve for x
    x = 163,405,089/8,243
  6. Step 6: Final answer
    x = 19,823.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.