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Finding the Third Proportional to 290,196 and 606,624

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Solution

The third proportional to 290,196 and 606,624 is: 1,268,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,196 : 606,624 = 606,624 : x
  2. Step 2: Convert to fraction form
    290,196/606,624 = 606,624/x
  3. Step 3: Cross multiply
    290,196x = 606,624 × 606,624
  4. Step 4: Simplify right side
    290,196x = 367,992,677,376
  5. Step 5: Solve for x
    x = 367,992,677,376/290,196
  6. Step 6: Final answer
    x = 1,268,083.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.