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Finding the Third Proportional to 343,880 and 754,190

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Solution

The third proportional to 343,880 and 754,190 is: 1,654,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,880 : 754,190 = 754,190 : x
  2. Step 2: Convert to fraction form
    343,880/754,190 = 754,190/x
  3. Step 3: Cross multiply
    343,880x = 754,190 × 754,190
  4. Step 4: Simplify right side
    343,880x = 568,802,556,100
  5. Step 5: Solve for x
    x = 568,802,556,100/343,880
  6. Step 6: Final answer
    x = 1,654,072.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.