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Finding the Third Proportional to 207,588 and 338,968

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Solution

The third proportional to 207,588 and 338,968 is: 553,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,588 : 338,968 = 338,968 : x
  2. Step 2: Convert to fraction form
    207,588/338,968 = 338,968/x
  3. Step 3: Cross multiply
    207,588x = 338,968 × 338,968
  4. Step 4: Simplify right side
    207,588x = 114,899,305,024
  5. Step 5: Solve for x
    x = 114,899,305,024/207,588
  6. Step 6: Final answer
    x = 553,496.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.