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Finding the Third Proportional to 279,144 and 398,709

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Solution

The third proportional to 279,144 and 398,709 is: 569,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,144 : 398,709 = 398,709 : x
  2. Step 2: Convert to fraction form
    279,144/398,709 = 398,709/x
  3. Step 3: Cross multiply
    279,144x = 398,709 × 398,709
  4. Step 4: Simplify right side
    279,144x = 158,968,866,681
  5. Step 5: Solve for x
    x = 158,968,866,681/279,144
  6. Step 6: Final answer
    x = 569,486.96

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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.