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Finding the Third Proportional to 230,912 and 479,968

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Solution

The third proportional to 230,912 and 479,968 is: 997,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,912 : 479,968 = 479,968 : x
  2. Step 2: Convert to fraction form
    230,912/479,968 = 479,968/x
  3. Step 3: Cross multiply
    230,912x = 479,968 × 479,968
  4. Step 4: Simplify right side
    230,912x = 230,369,281,024
  5. Step 5: Solve for x
    x = 230,369,281,024/230,912
  6. Step 6: Final answer
    x = 997,649.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.