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Finding the Third Proportional to 290,006 and 642,222

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Solution

The third proportional to 290,006 and 642,222 is: 1,422,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,006 : 642,222 = 642,222 : x
  2. Step 2: Convert to fraction form
    290,006/642,222 = 642,222/x
  3. Step 3: Cross multiply
    290,006x = 642,222 × 642,222
  4. Step 4: Simplify right side
    290,006x = 412,449,097,284
  5. Step 5: Solve for x
    x = 412,449,097,284/290,006
  6. Step 6: Final answer
    x = 1,422,208.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.