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Finding the Third Proportional to 427,290 and 670,267

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Solution

The third proportional to 427,290 and 670,267 is: 1,051,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,290 : 670,267 = 670,267 : x
  2. Step 2: Convert to fraction form
    427,290/670,267 = 670,267/x
  3. Step 3: Cross multiply
    427,290x = 670,267 × 670,267
  4. Step 4: Simplify right side
    427,290x = 449,257,851,289
  5. Step 5: Solve for x
    x = 449,257,851,289/427,290
  6. Step 6: Final answer
    x = 1,051,412.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.