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Finding the Third Proportional to 5,460.75 and 8,401.50

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Solution

The third proportional to 5,460.75 and 8,401.50 is: 12,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.75 : 8,401.50 = 8,401.50 : x
  2. Step 2: Convert to fraction form
    5,460.75/8,401.50 = 8,401.50/x
  3. Step 3: Cross multiply
    5,460.75x = 8,401.50 × 8,401.50
  4. Step 4: Simplify right side
    5,460.75x = 70,585,202.25
  5. Step 5: Solve for x
    x = 70,585,202.25/5,460.75
  6. Step 6: Final answer
    x = 12,925.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.