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Finding the Third Proportional to 713.81 and 1,406.53

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Solution

The third proportional to 713.81 and 1,406.53 is: 2,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,406.53 = 1,406.53 : x
  2. Step 2: Convert to fraction form
    713.81/1,406.53 = 1,406.53/x
  3. Step 3: Cross multiply
    713.81x = 1,406.53 × 1,406.53
  4. Step 4: Simplify right side
    713.81x = 1,978,330.16
  5. Step 5: Solve for x
    x = 1,978,330.16/713.81
  6. Step 6: Final answer
    x = 2,771.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.