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Finding the Third Proportional to 279,684 and 609,030

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Solution

The third proportional to 279,684 and 609,030 is: 1,326,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,684 : 609,030 = 609,030 : x
  2. Step 2: Convert to fraction form
    279,684/609,030 = 609,030/x
  3. Step 3: Cross multiply
    279,684x = 609,030 × 609,030
  4. Step 4: Simplify right side
    279,684x = 370,917,540,900
  5. Step 5: Solve for x
    x = 370,917,540,900/279,684
  6. Step 6: Final answer
    x = 1,326,202.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.