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Finding the Third Proportional to 235,118 and 342,611

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Solution

The third proportional to 235,118 and 342,611 is: 499,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,118 : 342,611 = 342,611 : x
  2. Step 2: Convert to fraction form
    235,118/342,611 = 342,611/x
  3. Step 3: Cross multiply
    235,118x = 342,611 × 342,611
  4. Step 4: Simplify right side
    235,118x = 117,382,297,321
  5. Step 5: Solve for x
    x = 117,382,297,321/235,118
  6. Step 6: Final answer
    x = 499,248.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.