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Finding the Third Proportional to 279,064 and 398,544

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Solution

The third proportional to 279,064 and 398,544 is: 569,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,064 : 398,544 = 398,544 : x
  2. Step 2: Convert to fraction form
    279,064/398,544 = 398,544/x
  3. Step 3: Cross multiply
    279,064x = 398,544 × 398,544
  4. Step 4: Simplify right side
    279,064x = 158,837,319,936
  5. Step 5: Solve for x
    x = 158,837,319,936/279,064
  6. Step 6: Final answer
    x = 569,178.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.