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Finding the Third Proportional to 288,000 and 430,848

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Solution

The third proportional to 288,000 and 430,848 is: 644,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000 : 430,848 = 430,848 : x
  2. Step 2: Convert to fraction form
    288,000/430,848 = 430,848/x
  3. Step 3: Cross multiply
    288,000x = 430,848 × 430,848
  4. Step 4: Simplify right side
    288,000x = 185,629,999,104
  5. Step 5: Solve for x
    x = 185,629,999,104/288,000
  6. Step 6: Final answer
    x = 644,548.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.