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Finding the Third Proportional to 151,338 and 324,409

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Solution

The third proportional to 151,338 and 324,409 is: 695,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,338 : 324,409 = 324,409 : x
  2. Step 2: Convert to fraction form
    151,338/324,409 = 324,409/x
  3. Step 3: Cross multiply
    151,338x = 324,409 × 324,409
  4. Step 4: Simplify right side
    151,338x = 105,241,199,281
  5. Step 5: Solve for x
    x = 105,241,199,281/151,338
  6. Step 6: Final answer
    x = 695,404.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.