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Finding the Third Proportional to 8,642 and 20,237

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Solution

The third proportional to 8,642 and 20,237 is: 47,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 20,237 = 20,237 : x
  2. Step 2: Convert to fraction form
    8,642/20,237 = 20,237/x
  3. Step 3: Cross multiply
    8,642x = 20,237 × 20,237
  4. Step 4: Simplify right side
    8,642x = 409,536,169
  5. Step 5: Solve for x
    x = 409,536,169/8,642
  6. Step 6: Final answer
    x = 47,389.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.