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Finding the Third Proportional to 143,428 and 311,048

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Solution

The third proportional to 143,428 and 311,048 is: 674,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,428 : 311,048 = 311,048 : x
  2. Step 2: Convert to fraction form
    143,428/311,048 = 311,048/x
  3. Step 3: Cross multiply
    143,428x = 311,048 × 311,048
  4. Step 4: Simplify right side
    143,428x = 96,750,858,304
  5. Step 5: Solve for x
    x = 96,750,858,304/143,428
  6. Step 6: Final answer
    x = 674,560.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.