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Finding the Third Proportional to 258,300 and 348,876

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Solution

The third proportional to 258,300 and 348,876 is: 471,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,300 : 348,876 = 348,876 : x
  2. Step 2: Convert to fraction form
    258,300/348,876 = 348,876/x
  3. Step 3: Cross multiply
    258,300x = 348,876 × 348,876
  4. Step 4: Simplify right side
    258,300x = 121,714,463,376
  5. Step 5: Solve for x
    x = 121,714,463,376/258,300
  6. Step 6: Final answer
    x = 471,213.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.