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Finding the Third Proportional to 212,825.25 and 317,391.75

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Solution

The third proportional to 212,825.25 and 317,391.75 is: 473,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,825.25 : 317,391.75 = 317,391.75 : x
  2. Step 2: Convert to fraction form
    212,825.25/317,391.75 = 317,391.75/x
  3. Step 3: Cross multiply
    212,825.25x = 317,391.75 × 317,391.75
  4. Step 4: Simplify right side
    212,825.25x = 100,737,522,968.06
  5. Step 5: Solve for x
    x = 100,737,522,968.06/212,825.25
  6. Step 6: Final answer
    x = 473,334.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.