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Finding the Third Proportional to 290,634 and 436,239

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Solution

The third proportional to 290,634 and 436,239 is: 654,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,634 : 436,239 = 436,239 : x
  2. Step 2: Convert to fraction form
    290,634/436,239 = 436,239/x
  3. Step 3: Cross multiply
    290,634x = 436,239 × 436,239
  4. Step 4: Simplify right side
    290,634x = 190,304,465,121
  5. Step 5: Solve for x
    x = 190,304,465,121/290,634
  6. Step 6: Final answer
    x = 654,790.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.