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Finding the Third Proportional to 262,351 and 405,122

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Solution

The third proportional to 262,351 and 405,122 is: 625,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,351 : 405,122 = 405,122 : x
  2. Step 2: Convert to fraction form
    262,351/405,122 = 405,122/x
  3. Step 3: Cross multiply
    262,351x = 405,122 × 405,122
  4. Step 4: Simplify right side
    262,351x = 164,123,834,884
  5. Step 5: Solve for x
    x = 164,123,834,884/262,351
  6. Step 6: Final answer
    x = 625,588.75

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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.