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Finding the Third Proportional to 654.75 and 917.25

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Solution

The third proportional to 654.75 and 917.25 is: 1,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 917.25 = 917.25 : x
  2. Step 2: Convert to fraction form
    654.75/917.25 = 917.25/x
  3. Step 3: Cross multiply
    654.75x = 917.25 × 917.25
  4. Step 4: Simplify right side
    654.75x = 841,347.56
  5. Step 5: Solve for x
    x = 841,347.56/654.75
  6. Step 6: Final answer
    x = 1,284.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.