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Finding the Third Proportional to 288,690 and 415,848

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Solution

The third proportional to 288,690 and 415,848 is: 599,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,690 : 415,848 = 415,848 : x
  2. Step 2: Convert to fraction form
    288,690/415,848 = 415,848/x
  3. Step 3: Cross multiply
    288,690x = 415,848 × 415,848
  4. Step 4: Simplify right side
    288,690x = 172,929,559,104
  5. Step 5: Solve for x
    x = 172,929,559,104/288,690
  6. Step 6: Final answer
    x = 599,014.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.