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Finding the Third Proportional to 138,795 and 207,813

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Solution

The third proportional to 138,795 and 207,813 is: 311,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,795 : 207,813 = 207,813 : x
  2. Step 2: Convert to fraction form
    138,795/207,813 = 207,813/x
  3. Step 3: Cross multiply
    138,795x = 207,813 × 207,813
  4. Step 4: Simplify right side
    138,795x = 43,186,242,969
  5. Step 5: Solve for x
    x = 43,186,242,969/138,795
  6. Step 6: Final answer
    x = 311,151.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.