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Finding the Third Proportional to 279,072 and 445,536

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Solution

The third proportional to 279,072 and 445,536 is: 711,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,072 : 445,536 = 445,536 : x
  2. Step 2: Convert to fraction form
    279,072/445,536 = 445,536/x
  3. Step 3: Cross multiply
    279,072x = 445,536 × 445,536
  4. Step 4: Simplify right side
    279,072x = 198,502,327,296
  5. Step 5: Solve for x
    x = 198,502,327,296/279,072
  6. Step 6: Final answer
    x = 711,294.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.