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Finding the Third Proportional to 290,261.25 and 448,326

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Solution

The third proportional to 290,261.25 and 448,326 is: 692,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,261.25 : 448,326 = 448,326 : x
  2. Step 2: Convert to fraction form
    290,261.25/448,326 = 448,326/x
  3. Step 3: Cross multiply
    290,261.25x = 448,326 × 448,326
  4. Step 4: Simplify right side
    290,261.25x = 200,996,202,276
  5. Step 5: Solve for x
    x = 200,996,202,276/290,261.25
  6. Step 6: Final answer
    x = 692,466.54

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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.