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Finding the Third Proportional to 661.92 and 947.64

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Solution

The third proportional to 661.92 and 947.64 is: 1,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 947.64 = 947.64 : x
  2. Step 2: Convert to fraction form
    661.92/947.64 = 947.64/x
  3. Step 3: Cross multiply
    661.92x = 947.64 × 947.64
  4. Step 4: Simplify right side
    661.92x = 898,015.35
  5. Step 5: Solve for x
    x = 898,015.35/661.92
  6. Step 6: Final answer
    x = 1,356.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.