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Finding the Third Proportional to 190,973 and 420,080

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Solution

The third proportional to 190,973 and 420,080 is: 924,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,973 : 420,080 = 420,080 : x
  2. Step 2: Convert to fraction form
    190,973/420,080 = 420,080/x
  3. Step 3: Cross multiply
    190,973x = 420,080 × 420,080
  4. Step 4: Simplify right side
    190,973x = 176,467,206,400
  5. Step 5: Solve for x
    x = 176,467,206,400/190,973
  6. Step 6: Final answer
    x = 924,042.70

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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.