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Finding the Third Proportional to 7,478.22 and 11,577.92

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Solution

The third proportional to 7,478.22 and 11,577.92 is: 17,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.22 : 11,577.92 = 11,577.92 : x
  2. Step 2: Convert to fraction form
    7,478.22/11,577.92 = 11,577.92/x
  3. Step 3: Cross multiply
    7,478.22x = 11,577.92 × 11,577.92
  4. Step 4: Simplify right side
    7,478.22x = 134,048,274.94
  5. Step 5: Solve for x
    x = 134,048,274.94/7,478.22
  6. Step 6: Final answer
    x = 17,925.16

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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.