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Finding the Third Proportional to 659.75 and 942.88

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Solution

The third proportional to 659.75 and 942.88 is: 1,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.75 : 942.88 = 942.88 : x
  2. Step 2: Convert to fraction form
    659.75/942.88 = 942.88/x
  3. Step 3: Cross multiply
    659.75x = 942.88 × 942.88
  4. Step 4: Simplify right side
    659.75x = 889,013.27
  5. Step 5: Solve for x
    x = 889,013.27/659.75
  6. Step 6: Final answer
    x = 1,347.50

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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.