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Finding the Third Proportional to 272,362 and 420,027

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Solution

The third proportional to 272,362 and 420,027 is: 647,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,362 : 420,027 = 420,027 : x
  2. Step 2: Convert to fraction form
    272,362/420,027 = 420,027/x
  3. Step 3: Cross multiply
    272,362x = 420,027 × 420,027
  4. Step 4: Simplify right side
    272,362x = 176,422,680,729
  5. Step 5: Solve for x
    x = 176,422,680,729/272,362
  6. Step 6: Final answer
    x = 647,750.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.