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Finding the Third Proportional to 238,310 and 351,917

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Solution

The third proportional to 238,310 and 351,917 is: 519,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,310 : 351,917 = 351,917 : x
  2. Step 2: Convert to fraction form
    238,310/351,917 = 351,917/x
  3. Step 3: Cross multiply
    238,310x = 351,917 × 351,917
  4. Step 4: Simplify right side
    238,310x = 123,845,574,889
  5. Step 5: Solve for x
    x = 123,845,574,889/238,310
  6. Step 6: Final answer
    x = 519,682.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.