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Finding the Third Proportional to 290,119 and 450,164

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Solution

The third proportional to 290,119 and 450,164 is: 698,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,119 : 450,164 = 450,164 : x
  2. Step 2: Convert to fraction form
    290,119/450,164 = 450,164/x
  3. Step 3: Cross multiply
    290,119x = 450,164 × 450,164
  4. Step 4: Simplify right side
    290,119x = 202,647,626,896
  5. Step 5: Solve for x
    x = 202,647,626,896/290,119
  6. Step 6: Final answer
    x = 698,498.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.