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Finding the Third Proportional to 278,056 and 447,696

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Solution

The third proportional to 278,056 and 447,696 is: 720,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,056 : 447,696 = 447,696 : x
  2. Step 2: Convert to fraction form
    278,056/447,696 = 447,696/x
  3. Step 3: Cross multiply
    278,056x = 447,696 × 447,696
  4. Step 4: Simplify right side
    278,056x = 200,431,708,416
  5. Step 5: Solve for x
    x = 200,431,708,416/278,056
  6. Step 6: Final answer
    x = 720,832.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.