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Finding the Third Proportional to 1,966.78 and 4,430.95

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Solution

The third proportional to 1,966.78 and 4,430.95 is: 9,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 4,430.95 = 4,430.95 : x
  2. Step 2: Convert to fraction form
    1,966.78/4,430.95 = 4,430.95/x
  3. Step 3: Cross multiply
    1,966.78x = 4,430.95 × 4,430.95
  4. Step 4: Simplify right side
    1,966.78x = 19,633,345.60
  5. Step 5: Solve for x
    x = 19,633,345.60/1,966.78
  6. Step 6: Final answer
    x = 9,982.48

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.