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Finding the Third Proportional to 389,999.81 and 599,192.44

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Solution

The third proportional to 389,999.81 and 599,192.44 is: 920,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,999.81 : 599,192.44 = 599,192.44 : x
  2. Step 2: Convert to fraction form
    389,999.81/599,192.44 = 599,192.44/x
  3. Step 3: Cross multiply
    389,999.81x = 599,192.44 × 599,192.44
  4. Step 4: Simplify right side
    389,999.81x = 359,031,577,157.19
  5. Step 5: Solve for x
    x = 359,031,577,157.19/389,999.81
  6. Step 6: Final answer
    x = 920,594.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.