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Finding the Third Proportional to 343,128 and 743,504

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Solution

The third proportional to 343,128 and 743,504 is: 1,611,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,128 : 743,504 = 743,504 : x
  2. Step 2: Convert to fraction form
    343,128/743,504 = 743,504/x
  3. Step 3: Cross multiply
    343,128x = 743,504 × 743,504
  4. Step 4: Simplify right side
    343,128x = 552,798,198,016
  5. Step 5: Solve for x
    x = 552,798,198,016/343,128
  6. Step 6: Final answer
    x = 1,611,055.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.