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Finding the Third Proportional to 1,400.78 and 3,032.22

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Solution

The third proportional to 1,400.78 and 3,032.22 is: 6,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.78 : 3,032.22 = 3,032.22 : x
  2. Step 2: Convert to fraction form
    1,400.78/3,032.22 = 3,032.22/x
  3. Step 3: Cross multiply
    1,400.78x = 3,032.22 × 3,032.22
  4. Step 4: Simplify right side
    1,400.78x = 9,194,357.95
  5. Step 5: Solve for x
    x = 9,194,357.95/1,400.78
  6. Step 6: Final answer
    x = 6,563.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.