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Finding the Third Proportional to 290,508 and 400,044

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Solution

The third proportional to 290,508 and 400,044 is: 550,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,508 : 400,044 = 400,044 : x
  2. Step 2: Convert to fraction form
    290,508/400,044 = 400,044/x
  3. Step 3: Cross multiply
    290,508x = 400,044 × 400,044
  4. Step 4: Simplify right side
    290,508x = 160,035,201,936
  5. Step 5: Solve for x
    x = 160,035,201,936/290,508
  6. Step 6: Final answer
    x = 550,880.53

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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.