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Finding the Third Proportional to 309,673 and 436,088

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Solution

The third proportional to 309,673 and 436,088 is: 614,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,673 : 436,088 = 436,088 : x
  2. Step 2: Convert to fraction form
    309,673/436,088 = 436,088/x
  3. Step 3: Cross multiply
    309,673x = 436,088 × 436,088
  4. Step 4: Simplify right side
    309,673x = 190,172,743,744
  5. Step 5: Solve for x
    x = 190,172,743,744/309,673
  6. Step 6: Final answer
    x = 614,108.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.