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Finding the Third Proportional to 288,001 and 620,154

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Solution

The third proportional to 288,001 and 620,154 is: 1,335,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001 : 620,154 = 620,154 : x
  2. Step 2: Convert to fraction form
    288,001/620,154 = 620,154/x
  3. Step 3: Cross multiply
    288,001x = 620,154 × 620,154
  4. Step 4: Simplify right side
    288,001x = 384,590,983,716
  5. Step 5: Solve for x
    x = 384,590,983,716/288,001
  6. Step 6: Final answer
    x = 1,335,380.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.