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Finding the Third Proportional to 212,517 and 442,368

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Solution

The third proportional to 212,517 and 442,368 is: 920,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,517 : 442,368 = 442,368 : x
  2. Step 2: Convert to fraction form
    212,517/442,368 = 442,368/x
  3. Step 3: Cross multiply
    212,517x = 442,368 × 442,368
  4. Step 4: Simplify right side
    212,517x = 195,689,447,424
  5. Step 5: Solve for x
    x = 195,689,447,424/212,517
  6. Step 6: Final answer
    x = 920,817.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.