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Finding the Third Proportional to 212,817.38 and 445,348.13

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Solution

The third proportional to 212,817.38 and 445,348.13 is: 931,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,817.38 : 445,348.13 = 445,348.13 : x
  2. Step 2: Convert to fraction form
    212,817.38/445,348.13 = 445,348.13/x
  3. Step 3: Cross multiply
    212,817.38x = 445,348.13 × 445,348.13
  4. Step 4: Simplify right side
    212,817.38x = 198,334,952,441.02
  5. Step 5: Solve for x
    x = 198,334,952,441.02/212,817.38
  6. Step 6: Final answer
    x = 931,949.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.