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Finding the Third Proportional to 290,854 and 608,196

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Solution

The third proportional to 290,854 and 608,196 is: 1,271,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,854 : 608,196 = 608,196 : x
  2. Step 2: Convert to fraction form
    290,854/608,196 = 608,196/x
  3. Step 3: Cross multiply
    290,854x = 608,196 × 608,196
  4. Step 4: Simplify right side
    290,854x = 369,902,374,416
  5. Step 5: Solve for x
    x = 369,902,374,416/290,854
  6. Step 6: Final answer
    x = 1,271,780.26

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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.