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Finding the Third Proportional to 946.69 and 1,428.47

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Solution

The third proportional to 946.69 and 1,428.47 is: 2,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,428.47 = 1,428.47 : x
  2. Step 2: Convert to fraction form
    946.69/1,428.47 = 1,428.47/x
  3. Step 3: Cross multiply
    946.69x = 1,428.47 × 1,428.47
  4. Step 4: Simplify right side
    946.69x = 2,040,522.97
  5. Step 5: Solve for x
    x = 2,040,522.97/946.69
  6. Step 6: Final answer
    x = 2,155.43

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Why These Related Problems?

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