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Finding the Third Proportional to 388,270 and 609,193

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Solution

The third proportional to 388,270 and 609,193 is: 955,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,270 : 609,193 = 609,193 : x
  2. Step 2: Convert to fraction form
    388,270/609,193 = 609,193/x
  3. Step 3: Cross multiply
    388,270x = 609,193 × 609,193
  4. Step 4: Simplify right side
    388,270x = 371,116,111,249
  5. Step 5: Solve for x
    x = 371,116,111,249/388,270
  6. Step 6: Final answer
    x = 955,819.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.