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Finding the Third Proportional to 201,254 and 419,042

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Solution

The third proportional to 201,254 and 419,042 is: 872,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,254 : 419,042 = 419,042 : x
  2. Step 2: Convert to fraction form
    201,254/419,042 = 419,042/x
  3. Step 3: Cross multiply
    201,254x = 419,042 × 419,042
  4. Step 4: Simplify right side
    201,254x = 175,596,197,764
  5. Step 5: Solve for x
    x = 175,596,197,764/201,254
  6. Step 6: Final answer
    x = 872,510.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.