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Finding the Third Proportional to 208,140 and 447,876

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Solution

The third proportional to 208,140 and 447,876 is: 963,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,140 : 447,876 = 447,876 : x
  2. Step 2: Convert to fraction form
    208,140/447,876 = 447,876/x
  3. Step 3: Cross multiply
    208,140x = 447,876 × 447,876
  4. Step 4: Simplify right side
    208,140x = 200,592,911,376
  5. Step 5: Solve for x
    x = 200,592,911,376/208,140
  6. Step 6: Final answer
    x = 963,740.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.