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Finding the Third Proportional to 427,964 and 662,682

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Solution

The third proportional to 427,964 and 662,682 is: 1,026,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,964 : 662,682 = 662,682 : x
  2. Step 2: Convert to fraction form
    427,964/662,682 = 662,682/x
  3. Step 3: Cross multiply
    427,964x = 662,682 × 662,682
  4. Step 4: Simplify right side
    427,964x = 439,147,433,124
  5. Step 5: Solve for x
    x = 439,147,433,124/427,964
  6. Step 6: Final answer
    x = 1,026,131.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.