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Finding the Third Proportional to 208,112 and 447,787

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Solution

The third proportional to 208,112 and 447,787 is: 963,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112 : 447,787 = 447,787 : x
  2. Step 2: Convert to fraction form
    208,112/447,787 = 447,787/x
  3. Step 3: Cross multiply
    208,112x = 447,787 × 447,787
  4. Step 4: Simplify right side
    208,112x = 200,513,197,369
  5. Step 5: Solve for x
    x = 200,513,197,369/208,112
  6. Step 6: Final answer
    x = 963,486.96

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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.