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Finding the Third Proportional to 290,467 and 480,019

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Solution

The third proportional to 290,467 and 480,019 is: 793,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,467 : 480,019 = 480,019 : x
  2. Step 2: Convert to fraction form
    290,467/480,019 = 480,019/x
  3. Step 3: Cross multiply
    290,467x = 480,019 × 480,019
  4. Step 4: Simplify right side
    290,467x = 230,418,240,361
  5. Step 5: Solve for x
    x = 230,418,240,361/290,467
  6. Step 6: Final answer
    x = 793,268.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.