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Finding the Third Proportional to 309,605.63 and 435,992.63

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Solution

The third proportional to 309,605.63 and 435,992.63 is: 613,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,605.63 : 435,992.63 = 435,992.63 : x
  2. Step 2: Convert to fraction form
    309,605.63/435,992.63 = 435,992.63/x
  3. Step 3: Cross multiply
    309,605.63x = 435,992.63 × 435,992.63
  4. Step 4: Simplify right side
    309,605.63x = 190,089,569,054.39
  5. Step 5: Solve for x
    x = 190,089,569,054.39/309,605.63
  6. Step 6: Final answer
    x = 613,973.24

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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.