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Finding the Third Proportional to 263,062 and 427,389

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Solution

The third proportional to 263,062 and 427,389 is: 694,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,062 : 427,389 = 427,389 : x
  2. Step 2: Convert to fraction form
    263,062/427,389 = 427,389/x
  3. Step 3: Cross multiply
    263,062x = 427,389 × 427,389
  4. Step 4: Simplify right side
    263,062x = 182,661,357,321
  5. Step 5: Solve for x
    x = 182,661,357,321/263,062
  6. Step 6: Final answer
    x = 694,366.18

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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.