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Finding the Third Proportional to 212,091.75 and 438,952.50

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Solution

The third proportional to 212,091.75 and 438,952.50 is: 908,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,091.75 : 438,952.50 = 438,952.50 : x
  2. Step 2: Convert to fraction form
    212,091.75/438,952.50 = 438,952.50/x
  3. Step 3: Cross multiply
    212,091.75x = 438,952.50 × 438,952.50
  4. Step 4: Simplify right side
    212,091.75x = 192,679,297,256.25
  5. Step 5: Solve for x
    x = 192,679,297,256.25/212,091.75
  6. Step 6: Final answer
    x = 908,471.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.