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Finding the Third Proportional to 388,181 and 617,264

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Solution

The third proportional to 388,181 and 617,264 is: 981,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,181 : 617,264 = 617,264 : x
  2. Step 2: Convert to fraction form
    388,181/617,264 = 617,264/x
  3. Step 3: Cross multiply
    388,181x = 617,264 × 617,264
  4. Step 4: Simplify right side
    388,181x = 381,014,845,696
  5. Step 5: Solve for x
    x = 381,014,845,696/388,181
  6. Step 6: Final answer
    x = 981,539.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.