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Finding the Third Proportional to 288,574 and 639,422

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Solution

The third proportional to 288,574 and 639,422 is: 1,416,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,574 : 639,422 = 639,422 : x
  2. Step 2: Convert to fraction form
    288,574/639,422 = 639,422/x
  3. Step 3: Cross multiply
    288,574x = 639,422 × 639,422
  4. Step 4: Simplify right side
    288,574x = 408,860,494,084
  5. Step 5: Solve for x
    x = 408,860,494,084/288,574
  6. Step 6: Final answer
    x = 1,416,830.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.