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Finding the Third Proportional to 262,946 and 427,206

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Solution

The third proportional to 262,946 and 427,206 is: 694,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,946 : 427,206 = 427,206 : x
  2. Step 2: Convert to fraction form
    262,946/427,206 = 427,206/x
  3. Step 3: Cross multiply
    262,946x = 427,206 × 427,206
  4. Step 4: Simplify right side
    262,946x = 182,504,966,436
  5. Step 5: Solve for x
    x = 182,504,966,436/262,946
  6. Step 6: Final answer
    x = 694,077.74

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.