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Finding the Third Proportional to 133,540 and 207,968

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Solution

The third proportional to 133,540 and 207,968 is: 323,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,540 : 207,968 = 207,968 : x
  2. Step 2: Convert to fraction form
    133,540/207,968 = 207,968/x
  3. Step 3: Cross multiply
    133,540x = 207,968 × 207,968
  4. Step 4: Simplify right side
    133,540x = 43,250,689,024
  5. Step 5: Solve for x
    x = 43,250,689,024/133,540
  6. Step 6: Final answer
    x = 323,878.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.