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Finding the Third Proportional to 242,203.88 and 378,021.94

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Solution

The third proportional to 242,203.88 and 378,021.94 is: 590,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,203.88 : 378,021.94 = 378,021.94 : x
  2. Step 2: Convert to fraction form
    242,203.88/378,021.94 = 378,021.94/x
  3. Step 3: Cross multiply
    242,203.88x = 378,021.94 × 378,021.94
  4. Step 4: Simplify right side
    242,203.88x = 142,900,585,231.25
  5. Step 5: Solve for x
    x = 142,900,585,231.25/242,203.88
  6. Step 6: Final answer
    x = 590,001.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.