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Finding the Third Proportional to 940.78 and 1,455.47

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Solution

The third proportional to 940.78 and 1,455.47 is: 2,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,455.47 = 1,455.47 : x
  2. Step 2: Convert to fraction form
    940.78/1,455.47 = 1,455.47/x
  3. Step 3: Cross multiply
    940.78x = 1,455.47 × 1,455.47
  4. Step 4: Simplify right side
    940.78x = 2,118,389.28
  5. Step 5: Solve for x
    x = 2,118,389.28/940.78
  6. Step 6: Final answer
    x = 2,251.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.