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Finding the Third Proportional to 8,370 and 12,303

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Solution

The third proportional to 8,370 and 12,303 is: 18,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 12,303 = 12,303 : x
  2. Step 2: Convert to fraction form
    8,370/12,303 = 12,303/x
  3. Step 3: Cross multiply
    8,370x = 12,303 × 12,303
  4. Step 4: Simplify right side
    8,370x = 151,363,809
  5. Step 5: Solve for x
    x = 151,363,809/8,370
  6. Step 6: Final answer
    x = 18,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.