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Finding the Third Proportional to 309,669.75 and 436,083.75

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Solution

The third proportional to 309,669.75 and 436,083.75 is: 614,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,669.75 : 436,083.75 = 436,083.75 : x
  2. Step 2: Convert to fraction form
    309,669.75/436,083.75 = 436,083.75/x
  3. Step 3: Cross multiply
    309,669.75x = 436,083.75 × 436,083.75
  4. Step 4: Simplify right side
    309,669.75x = 190,169,037,014.06
  5. Step 5: Solve for x
    x = 190,169,037,014.06/309,669.75
  6. Step 6: Final answer
    x = 614,102.72

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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.