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Finding the Third Proportional to 133,840 and 200,752

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Solution

The third proportional to 133,840 and 200,752 is: 301,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,840 : 200,752 = 200,752 : x
  2. Step 2: Convert to fraction form
    133,840/200,752 = 200,752/x
  3. Step 3: Cross multiply
    133,840x = 200,752 × 200,752
  4. Step 4: Simplify right side
    133,840x = 40,301,365,504
  5. Step 5: Solve for x
    x = 40,301,365,504/133,840
  6. Step 6: Final answer
    x = 301,116.00

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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.