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Finding the Third Proportional to 133,218 and 200,707

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Solution

The third proportional to 133,218 and 200,707 is: 302,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218 : 200,707 = 200,707 : x
  2. Step 2: Convert to fraction form
    133,218/200,707 = 200,707/x
  3. Step 3: Cross multiply
    133,218x = 200,707 × 200,707
  4. Step 4: Simplify right side
    133,218x = 40,283,299,849
  5. Step 5: Solve for x
    x = 40,283,299,849/133,218
  6. Step 6: Final answer
    x = 302,386.31

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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.