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Finding the Third Proportional to 770.25 and 831.75

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Solution

The third proportional to 770.25 and 831.75 is: 898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.25 : 831.75 = 831.75 : x
  2. Step 2: Convert to fraction form
    770.25/831.75 = 831.75/x
  3. Step 3: Cross multiply
    770.25x = 831.75 × 831.75
  4. Step 4: Simplify right side
    770.25x = 691,808.06
  5. Step 5: Solve for x
    x = 691,808.06/770.25
  6. Step 6: Final answer
    x = 898.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.