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Finding the Third Proportional to 945.56 and 1,035.56

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Solution

The third proportional to 945.56 and 1,035.56 is: 1,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.56 : 1,035.56 = 1,035.56 : x
  2. Step 2: Convert to fraction form
    945.56/1,035.56 = 1,035.56/x
  3. Step 3: Cross multiply
    945.56x = 1,035.56 × 1,035.56
  4. Step 4: Simplify right side
    945.56x = 1,072,389.69
  5. Step 5: Solve for x
    x = 1,072,389.69/945.56
  6. Step 6: Final answer
    x = 1,134.13

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.