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Finding the Third Proportional to 8,709 and 19,287

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Solution

The third proportional to 8,709 and 19,287 is: 42,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709 : 19,287 = 19,287 : x
  2. Step 2: Convert to fraction form
    8,709/19,287 = 19,287/x
  3. Step 3: Cross multiply
    8,709x = 19,287 × 19,287
  4. Step 4: Simplify right side
    8,709x = 371,988,369
  5. Step 5: Solve for x
    x = 371,988,369/8,709
  6. Step 6: Final answer
    x = 42,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.