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Finding the Third Proportional to 46,934.44 and 101,862.56

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Solution

The third proportional to 46,934.44 and 101,862.56 is: 221,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,934.44 : 101,862.56 = 101,862.56 : x
  2. Step 2: Convert to fraction form
    46,934.44/101,862.56 = 101,862.56/x
  3. Step 3: Cross multiply
    46,934.44x = 101,862.56 × 101,862.56
  4. Step 4: Simplify right side
    46,934.44x = 10,375,981,639.07
  5. Step 5: Solve for x
    x = 10,375,981,639.07/46,934.44
  6. Step 6: Final answer
    x = 221,073.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.