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Finding the Third Proportional to 128,804 and 282,212

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Solution

The third proportional to 128,804 and 282,212 is: 618,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,804 : 282,212 = 282,212 : x
  2. Step 2: Convert to fraction form
    128,804/282,212 = 282,212/x
  3. Step 3: Cross multiply
    128,804x = 282,212 × 282,212
  4. Step 4: Simplify right side
    128,804x = 79,643,612,944
  5. Step 5: Solve for x
    x = 79,643,612,944/128,804
  6. Step 6: Final answer
    x = 618,331.83

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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.