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Finding the Third Proportional to 288,152 and 422,889

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Solution

The third proportional to 288,152 and 422,889 is: 620,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,152 : 422,889 = 422,889 : x
  2. Step 2: Convert to fraction form
    288,152/422,889 = 422,889/x
  3. Step 3: Cross multiply
    288,152x = 422,889 × 422,889
  4. Step 4: Simplify right side
    288,152x = 178,835,106,321
  5. Step 5: Solve for x
    x = 178,835,106,321/288,152
  6. Step 6: Final answer
    x = 620,627.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.