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Finding the Third Proportional to 152,682 and 342,948

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Solution

The third proportional to 152,682 and 342,948 is: 770,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682 : 342,948 = 342,948 : x
  2. Step 2: Convert to fraction form
    152,682/342,948 = 342,948/x
  3. Step 3: Cross multiply
    152,682x = 342,948 × 342,948
  4. Step 4: Simplify right side
    152,682x = 117,613,330,704
  5. Step 5: Solve for x
    x = 117,613,330,704/152,682
  6. Step 6: Final answer
    x = 770,315.63

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.