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Finding the Third Proportional to 8,725 and 19,385

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Solution

The third proportional to 8,725 and 19,385 is: 43,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725 : 19,385 = 19,385 : x
  2. Step 2: Convert to fraction form
    8,725/19,385 = 19,385/x
  3. Step 3: Cross multiply
    8,725x = 19,385 × 19,385
  4. Step 4: Simplify right side
    8,725x = 375,778,225
  5. Step 5: Solve for x
    x = 375,778,225/8,725
  6. Step 6: Final answer
    x = 43,069.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.