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Finding the Third Proportional to 262,948 and 427,210

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Solution

The third proportional to 262,948 and 427,210 is: 694,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,948 : 427,210 = 427,210 : x
  2. Step 2: Convert to fraction form
    262,948/427,210 = 427,210/x
  3. Step 3: Cross multiply
    262,948x = 427,210 × 427,210
  4. Step 4: Simplify right side
    262,948x = 182,508,384,100
  5. Step 5: Solve for x
    x = 182,508,384,100/262,948
  6. Step 6: Final answer
    x = 694,085.46

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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.