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Finding the Third Proportional to 19,624 and 42,378

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Solution

The third proportional to 19,624 and 42,378 is: 91,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624 : 42,378 = 42,378 : x
  2. Step 2: Convert to fraction form
    19,624/42,378 = 42,378/x
  3. Step 3: Cross multiply
    19,624x = 42,378 × 42,378
  4. Step 4: Simplify right side
    19,624x = 1,795,894,884
  5. Step 5: Solve for x
    x = 1,795,894,884/19,624
  6. Step 6: Final answer
    x = 91,515.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.