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Finding the Third Proportional to 190,968.75 and 420,072.75

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Solution

The third proportional to 190,968.75 and 420,072.75 is: 924,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,968.75 : 420,072.75 = 420,072.75 : x
  2. Step 2: Convert to fraction form
    190,968.75/420,072.75 = 420,072.75/x
  3. Step 3: Cross multiply
    190,968.75x = 420,072.75 × 420,072.75
  4. Step 4: Simplify right side
    190,968.75x = 176,461,115,292.56
  5. Step 5: Solve for x
    x = 176,461,115,292.56/190,968.75
  6. Step 6: Final answer
    x = 924,031.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.