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Finding the Third Proportional to 5,409.60 and 8,130.06

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Solution

The third proportional to 5,409.60 and 8,130.06 is: 12,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.60 : 8,130.06 = 8,130.06 : x
  2. Step 2: Convert to fraction form
    5,409.60/8,130.06 = 8,130.06/x
  3. Step 3: Cross multiply
    5,409.60x = 8,130.06 × 8,130.06
  4. Step 4: Simplify right side
    5,409.60x = 66,097,852.74
  5. Step 5: Solve for x
    x = 66,097,852.74/5,409.60
  6. Step 6: Final answer
    x = 12,218.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.