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Finding the Third Proportional to 262,483 and 405,317

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Solution

The third proportional to 262,483 and 405,317 is: 625,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,483 : 405,317 = 405,317 : x
  2. Step 2: Convert to fraction form
    262,483/405,317 = 405,317/x
  3. Step 3: Cross multiply
    262,483x = 405,317 × 405,317
  4. Step 4: Simplify right side
    262,483x = 164,281,870,489
  5. Step 5: Solve for x
    x = 164,281,870,489/262,483
  6. Step 6: Final answer
    x = 625,876.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.