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Finding the Third Proportional to 151,501 and 318,676

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Solution

The third proportional to 151,501 and 318,676 is: 670,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,501 : 318,676 = 318,676 : x
  2. Step 2: Convert to fraction form
    151,501/318,676 = 318,676/x
  3. Step 3: Cross multiply
    151,501x = 318,676 × 318,676
  4. Step 4: Simplify right side
    151,501x = 101,554,392,976
  5. Step 5: Solve for x
    x = 101,554,392,976/151,501
  6. Step 6: Final answer
    x = 670,321.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.