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Finding the Third Proportional to 1,300.85 and 2,790.07

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Solution

The third proportional to 1,300.85 and 2,790.07 is: 5,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.85 : 2,790.07 = 2,790.07 : x
  2. Step 2: Convert to fraction form
    1,300.85/2,790.07 = 2,790.07/x
  3. Step 3: Cross multiply
    1,300.85x = 2,790.07 × 2,790.07
  4. Step 4: Simplify right side
    1,300.85x = 7,784,492.35
  5. Step 5: Solve for x
    x = 7,784,492.35/1,300.85
  6. Step 6: Final answer
    x = 5,984.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.