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Finding the Third Proportional to 279,720 and 609,228

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Solution

The third proportional to 279,720 and 609,228 is: 1,326,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,720 : 609,228 = 609,228 : x
  2. Step 2: Convert to fraction form
    279,720/609,228 = 609,228/x
  3. Step 3: Cross multiply
    279,720x = 609,228 × 609,228
  4. Step 4: Simplify right side
    279,720x = 371,158,755,984
  5. Step 5: Solve for x
    x = 371,158,755,984/279,720
  6. Step 6: Final answer
    x = 1,326,893.88

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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.