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Finding the Third Proportional to 442,620 and 670,611

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Solution

The third proportional to 442,620 and 670,611 is: 1,016,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,620 : 670,611 = 670,611 : x
  2. Step 2: Convert to fraction form
    442,620/670,611 = 670,611/x
  3. Step 3: Cross multiply
    442,620x = 670,611 × 670,611
  4. Step 4: Simplify right side
    442,620x = 449,719,113,321
  5. Step 5: Solve for x
    x = 449,719,113,321/442,620
  6. Step 6: Final answer
    x = 1,016,038.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.