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Finding the Third Proportional to 19,488 and 45,642

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Solution

The third proportional to 19,488 and 45,642 is: 106,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,488 : 45,642 = 45,642 : x
  2. Step 2: Convert to fraction form
    19,488/45,642 = 45,642/x
  3. Step 3: Cross multiply
    19,488x = 45,642 × 45,642
  4. Step 4: Simplify right side
    19,488x = 2,083,192,164
  5. Step 5: Solve for x
    x = 2,083,192,164/19,488
  6. Step 6: Final answer
    x = 106,896.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.