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Finding the Third Proportional to 228,613 and 342,907

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Solution

The third proportional to 228,613 and 342,907 is: 514,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,613 : 342,907 = 342,907 : x
  2. Step 2: Convert to fraction form
    228,613/342,907 = 342,907/x
  3. Step 3: Cross multiply
    228,613x = 342,907 × 342,907
  4. Step 4: Simplify right side
    228,613x = 117,585,210,649
  5. Step 5: Solve for x
    x = 117,585,210,649/228,613
  6. Step 6: Final answer
    x = 514,341.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.