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Finding the Third Proportional to 231,858 and 488,619

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Solution

The third proportional to 231,858 and 488,619 is: 1,029,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,858 : 488,619 = 488,619 : x
  2. Step 2: Convert to fraction form
    231,858/488,619 = 488,619/x
  3. Step 3: Cross multiply
    231,858x = 488,619 × 488,619
  4. Step 4: Simplify right side
    231,858x = 238,748,527,161
  5. Step 5: Solve for x
    x = 238,748,527,161/231,858
  6. Step 6: Final answer
    x = 1,029,718.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.