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Finding the Third Proportional to 268,706 and 406,083

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Solution

The third proportional to 268,706 and 406,083 is: 613,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,706 : 406,083 = 406,083 : x
  2. Step 2: Convert to fraction form
    268,706/406,083 = 406,083/x
  3. Step 3: Cross multiply
    268,706x = 406,083 × 406,083
  4. Step 4: Simplify right side
    268,706x = 164,903,402,889
  5. Step 5: Solve for x
    x = 164,903,402,889/268,706
  6. Step 6: Final answer
    x = 613,694.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.