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Finding the Third Proportional to 708.75 and 911.81

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Solution

The third proportional to 708.75 and 911.81 is: 1,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 911.81 = 911.81 : x
  2. Step 2: Convert to fraction form
    708.75/911.81 = 911.81/x
  3. Step 3: Cross multiply
    708.75x = 911.81 × 911.81
  4. Step 4: Simplify right side
    708.75x = 831,402.04
  5. Step 5: Solve for x
    x = 831,402.04/708.75
  6. Step 6: Final answer
    x = 1,173.05

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.