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Finding the Third Proportional to 318,466.69 and 682,480.69

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Solution

The third proportional to 318,466.69 and 682,480.69 is: 1,462,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,466.69 : 682,480.69 = 682,480.69 : x
  2. Step 2: Convert to fraction form
    318,466.69/682,480.69 = 682,480.69/x
  3. Step 3: Cross multiply
    318,466.69x = 682,480.69 × 682,480.69
  4. Step 4: Simplify right side
    318,466.69x = 465,779,888,810.47
  5. Step 5: Solve for x
    x = 465,779,888,810.47/318,466.69
  6. Step 6: Final answer
    x = 1,462,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.