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Finding the Third Proportional to 19,490 and 30,375

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Solution

The third proportional to 19,490 and 30,375 is: 47,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490 : 30,375 = 30,375 : x
  2. Step 2: Convert to fraction form
    19,490/30,375 = 30,375/x
  3. Step 3: Cross multiply
    19,490x = 30,375 × 30,375
  4. Step 4: Simplify right side
    19,490x = 922,640,625
  5. Step 5: Solve for x
    x = 922,640,625/19,490
  6. Step 6: Final answer
    x = 47,339.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.