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Finding the Third Proportional to 231,878 and 348,371

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Solution

The third proportional to 231,878 and 348,371 is: 523,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878 : 348,371 = 348,371 : x
  2. Step 2: Convert to fraction form
    231,878/348,371 = 348,371/x
  3. Step 3: Cross multiply
    231,878x = 348,371 × 348,371
  4. Step 4: Simplify right side
    231,878x = 121,362,353,641
  5. Step 5: Solve for x
    x = 121,362,353,641/231,878
  6. Step 6: Final answer
    x = 523,388.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.