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Finding the Third Proportional to 209,040 and 451,620

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Solution

The third proportional to 209,040 and 451,620 is: 975,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,040 : 451,620 = 451,620 : x
  2. Step 2: Convert to fraction form
    209,040/451,620 = 451,620/x
  3. Step 3: Cross multiply
    209,040x = 451,620 × 451,620
  4. Step 4: Simplify right side
    209,040x = 203,960,624,400
  5. Step 5: Solve for x
    x = 203,960,624,400/209,040
  6. Step 6: Final answer
    x = 975,701.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.