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Finding the Third Proportional to 128,806 and 282,216

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Solution

The third proportional to 128,806 and 282,216 is: 618,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,806 : 282,216 = 282,216 : x
  2. Step 2: Convert to fraction form
    128,806/282,216 = 282,216/x
  3. Step 3: Cross multiply
    128,806x = 282,216 × 282,216
  4. Step 4: Simplify right side
    128,806x = 79,645,870,656
  5. Step 5: Solve for x
    x = 79,645,870,656/128,806
  6. Step 6: Final answer
    x = 618,339.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.