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Finding the Third Proportional to 681.69 and 973.75

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Solution

The third proportional to 681.69 and 973.75 is: 1,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 973.75 = 973.75 : x
  2. Step 2: Convert to fraction form
    681.69/973.75 = 973.75/x
  3. Step 3: Cross multiply
    681.69x = 973.75 × 973.75
  4. Step 4: Simplify right side
    681.69x = 948,189.06
  5. Step 5: Solve for x
    x = 948,189.06/681.69
  6. Step 6: Final answer
    x = 1,390.94

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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.