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Finding the Third Proportional to 19,469 and 25,315

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Solution

The third proportional to 19,469 and 25,315 is: 32,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469 : 25,315 = 25,315 : x
  2. Step 2: Convert to fraction form
    19,469/25,315 = 25,315/x
  3. Step 3: Cross multiply
    19,469x = 25,315 × 25,315
  4. Step 4: Simplify right side
    19,469x = 640,849,225
  5. Step 5: Solve for x
    x = 640,849,225/19,469
  6. Step 6: Final answer
    x = 32,916.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.