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Finding the Third Proportional to 690.25 and 917.25

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Solution

The third proportional to 690.25 and 917.25 is: 1,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.25 : 917.25 = 917.25 : x
  2. Step 2: Convert to fraction form
    690.25/917.25 = 917.25/x
  3. Step 3: Cross multiply
    690.25x = 917.25 × 917.25
  4. Step 4: Simplify right side
    690.25x = 841,347.56
  5. Step 5: Solve for x
    x = 841,347.56/690.25
  6. Step 6: Final answer
    x = 1,218.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.