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Finding the Third Proportional to 311,968 and 470,768

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Solution

The third proportional to 311,968 and 470,768 is: 710,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,968 : 470,768 = 470,768 : x
  2. Step 2: Convert to fraction form
    311,968/470,768 = 470,768/x
  3. Step 3: Cross multiply
    311,968x = 470,768 × 470,768
  4. Step 4: Simplify right side
    311,968x = 221,622,509,824
  5. Step 5: Solve for x
    x = 221,622,509,824/311,968
  6. Step 6: Final answer
    x = 710,401.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.