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Finding the Third Proportional to 290,857.25 and 446,918

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Solution

The third proportional to 290,857.25 and 446,918 is: 686,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,857.25 : 446,918 = 446,918 : x
  2. Step 2: Convert to fraction form
    290,857.25/446,918 = 446,918/x
  3. Step 3: Cross multiply
    290,857.25x = 446,918 × 446,918
  4. Step 4: Simplify right side
    290,857.25x = 199,735,698,724
  5. Step 5: Solve for x
    x = 199,735,698,724/290,857.25
  6. Step 6: Final answer
    x = 686,713.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.