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Finding the Third Proportional to 388,268 and 609,190

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Solution

The third proportional to 388,268 and 609,190 is: 955,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,268 : 609,190 = 609,190 : x
  2. Step 2: Convert to fraction form
    388,268/609,190 = 609,190/x
  3. Step 3: Cross multiply
    388,268x = 609,190 × 609,190
  4. Step 4: Simplify right side
    388,268x = 371,112,456,100
  5. Step 5: Solve for x
    x = 371,112,456,100/388,268
  6. Step 6: Final answer
    x = 955,815.20

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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.