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Finding the Third Proportional to 207,376 and 427,838

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Solution

The third proportional to 207,376 and 427,838 is: 882,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,376 : 427,838 = 427,838 : x
  2. Step 2: Convert to fraction form
    207,376/427,838 = 427,838/x
  3. Step 3: Cross multiply
    207,376x = 427,838 × 427,838
  4. Step 4: Simplify right side
    207,376x = 183,045,354,244
  5. Step 5: Solve for x
    x = 183,045,354,244/207,376
  6. Step 6: Final answer
    x = 882,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.