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Finding the Third Proportional to 106,420 and 221,853.50

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Solution

The third proportional to 106,420 and 221,853.50 is: 462,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420 : 221,853.50 = 221,853.50 : x
  2. Step 2: Convert to fraction form
    106,420/221,853.50 = 221,853.50/x
  3. Step 3: Cross multiply
    106,420x = 221,853.50 × 221,853.50
  4. Step 4: Simplify right side
    106,420x = 49,218,975,462.25
  5. Step 5: Solve for x
    x = 49,218,975,462.25/106,420
  6. Step 6: Final answer
    x = 462,497.42

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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.