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Finding the Third Proportional to 290,544 and 400,080

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Solution

The third proportional to 290,544 and 400,080 is: 550,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,544 : 400,080 = 400,080 : x
  2. Step 2: Convert to fraction form
    290,544/400,080 = 400,080/x
  3. Step 3: Cross multiply
    290,544x = 400,080 × 400,080
  4. Step 4: Simplify right side
    290,544x = 160,064,006,400
  5. Step 5: Solve for x
    x = 160,064,006,400/290,544
  6. Step 6: Final answer
    x = 550,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.