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Finding the Third Proportional to 133,912 and 207,258

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Solution

The third proportional to 133,912 and 207,258 is: 320,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,912 : 207,258 = 207,258 : x
  2. Step 2: Convert to fraction form
    133,912/207,258 = 207,258/x
  3. Step 3: Cross multiply
    133,912x = 207,258 × 207,258
  4. Step 4: Simplify right side
    133,912x = 42,955,878,564
  5. Step 5: Solve for x
    x = 42,955,878,564/133,912
  6. Step 6: Final answer
    x = 320,776.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.