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Finding the Third Proportional to 287,234 and 629,188

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Solution

The third proportional to 287,234 and 629,188 is: 1,378,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,234 : 629,188 = 629,188 : x
  2. Step 2: Convert to fraction form
    287,234/629,188 = 629,188/x
  3. Step 3: Cross multiply
    287,234x = 629,188 × 629,188
  4. Step 4: Simplify right side
    287,234x = 395,877,539,344
  5. Step 5: Solve for x
    x = 395,877,539,344/287,234
  6. Step 6: Final answer
    x = 1,378,240.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.