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Finding the Third Proportional to 279,604 and 598,390

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Solution

The third proportional to 279,604 and 598,390 is: 1,280,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,604 : 598,390 = 598,390 : x
  2. Step 2: Convert to fraction form
    279,604/598,390 = 598,390/x
  3. Step 3: Cross multiply
    279,604x = 598,390 × 598,390
  4. Step 4: Simplify right side
    279,604x = 358,070,592,100
  5. Step 5: Solve for x
    x = 358,070,592,100/279,604
  6. Step 6: Final answer
    x = 1,280,634.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.