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Finding the Third Proportional to 659.25 and 681.75

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Solution

The third proportional to 659.25 and 681.75 is: 705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.25 : 681.75 = 681.75 : x
  2. Step 2: Convert to fraction form
    659.25/681.75 = 681.75/x
  3. Step 3: Cross multiply
    659.25x = 681.75 × 681.75
  4. Step 4: Simplify right side
    659.25x = 464,783.06
  5. Step 5: Solve for x
    x = 464,783.06/659.25
  6. Step 6: Final answer
    x = 705.02

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.