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Finding the Third Proportional to 287,234 and 438,626

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Solution

The third proportional to 287,234 and 438,626 is: 669,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,234 : 438,626 = 438,626 : x
  2. Step 2: Convert to fraction form
    287,234/438,626 = 438,626/x
  3. Step 3: Cross multiply
    287,234x = 438,626 × 438,626
  4. Step 4: Simplify right side
    287,234x = 192,392,767,876
  5. Step 5: Solve for x
    x = 192,392,767,876/287,234
  6. Step 6: Final answer
    x = 669,811.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.