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Finding the Third Proportional to 8,428 and 13,085

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Solution

The third proportional to 8,428 and 13,085 is: 20,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 13,085 = 13,085 : x
  2. Step 2: Convert to fraction form
    8,428/13,085 = 13,085/x
  3. Step 3: Cross multiply
    8,428x = 13,085 × 13,085
  4. Step 4: Simplify right side
    8,428x = 171,217,225
  5. Step 5: Solve for x
    x = 171,217,225/8,428
  6. Step 6: Final answer
    x = 20,315.29

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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.