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Finding the Third Proportional to 7,308.70 and 11,028.80

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Solution

The third proportional to 7,308.70 and 11,028.80 is: 16,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.70 : 11,028.80 = 11,028.80 : x
  2. Step 2: Convert to fraction form
    7,308.70/11,028.80 = 11,028.80/x
  3. Step 3: Cross multiply
    7,308.70x = 11,028.80 × 11,028.80
  4. Step 4: Simplify right side
    7,308.70x = 121,634,360.51
  5. Step 5: Solve for x
    x = 121,634,360.51/7,308.70
  6. Step 6: Final answer
    x = 16,642.40

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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.