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Finding the Third Proportional to 309,636.75 and 512,456.25

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Solution

The third proportional to 309,636.75 and 512,456.25 is: 848,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,636.75 : 512,456.25 = 512,456.25 : x
  2. Step 2: Convert to fraction form
    309,636.75/512,456.25 = 512,456.25/x
  3. Step 3: Cross multiply
    309,636.75x = 512,456.25 × 512,456.25
  4. Step 4: Simplify right side
    309,636.75x = 262,611,408,164.06
  5. Step 5: Solve for x
    x = 262,611,408,164.06/309,636.75
  6. Step 6: Final answer
    x = 848,127.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.