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Finding the Third Proportional to 476,176 and 720,408

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Solution

The third proportional to 476,176 and 720,408 is: 1,089,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,176 : 720,408 = 720,408 : x
  2. Step 2: Convert to fraction form
    476,176/720,408 = 720,408/x
  3. Step 3: Cross multiply
    476,176x = 720,408 × 720,408
  4. Step 4: Simplify right side
    476,176x = 518,987,686,464
  5. Step 5: Solve for x
    x = 518,987,686,464/476,176
  6. Step 6: Final answer
    x = 1,089,907.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.