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Finding the Third Proportional to 201,826 and 288,077

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Solution

The third proportional to 201,826 and 288,077 is: 411,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826 : 288,077 = 288,077 : x
  2. Step 2: Convert to fraction form
    201,826/288,077 = 288,077/x
  3. Step 3: Cross multiply
    201,826x = 288,077 × 288,077
  4. Step 4: Simplify right side
    201,826x = 82,988,357,929
  5. Step 5: Solve for x
    x = 82,988,357,929/201,826
  6. Step 6: Final answer
    x = 411,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.