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Finding the Third Proportional to 158,909 and 343,026

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Solution

The third proportional to 158,909 and 343,026 is: 740,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,909 : 343,026 = 343,026 : x
  2. Step 2: Convert to fraction form
    158,909/343,026 = 343,026/x
  3. Step 3: Cross multiply
    158,909x = 343,026 × 343,026
  4. Step 4: Simplify right side
    158,909x = 117,666,836,676
  5. Step 5: Solve for x
    x = 117,666,836,676/158,909
  6. Step 6: Final answer
    x = 740,466.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.