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Finding the Third Proportional to 661.75 and 948.88

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Solution

The third proportional to 661.75 and 948.88 is: 1,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.75 : 948.88 = 948.88 : x
  2. Step 2: Convert to fraction form
    661.75/948.88 = 948.88/x
  3. Step 3: Cross multiply
    661.75x = 948.88 × 948.88
  4. Step 4: Simplify right side
    661.75x = 900,363.77
  5. Step 5: Solve for x
    x = 900,363.77/661.75
  6. Step 6: Final answer
    x = 1,360.58

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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.