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Finding the Third Proportional to 299,078 and 426,584

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Solution

The third proportional to 299,078 and 426,584 is: 608,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078 : 426,584 = 426,584 : x
  2. Step 2: Convert to fraction form
    299,078/426,584 = 426,584/x
  3. Step 3: Cross multiply
    299,078x = 426,584 × 426,584
  4. Step 4: Simplify right side
    299,078x = 181,973,909,056
  5. Step 5: Solve for x
    x = 181,973,909,056/299,078
  6. Step 6: Final answer
    x = 608,449.67

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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.