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Finding the Third Proportional to 212,824 and 445,358

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Solution

The third proportional to 212,824 and 445,358 is: 931,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,824 : 445,358 = 445,358 : x
  2. Step 2: Convert to fraction form
    212,824/445,358 = 445,358/x
  3. Step 3: Cross multiply
    212,824x = 445,358 × 445,358
  4. Step 4: Simplify right side
    212,824x = 198,343,748,164
  5. Step 5: Solve for x
    x = 198,343,748,164/212,824
  6. Step 6: Final answer
    x = 931,961.38

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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.