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Finding the Third Proportional to 383,271.75 and 438,630.19

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Solution

The third proportional to 383,271.75 and 438,630.19 is: 501,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,271.75 : 438,630.19 = 438,630.19 : x
  2. Step 2: Convert to fraction form
    383,271.75/438,630.19 = 438,630.19/x
  3. Step 3: Cross multiply
    383,271.75x = 438,630.19 × 438,630.19
  4. Step 4: Simplify right side
    383,271.75x = 192,396,441,386.29
  5. Step 5: Solve for x
    x = 192,396,441,386.29/383,271.75
  6. Step 6: Final answer
    x = 501,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.