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Finding the Third Proportional to 133,920 and 207,216

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Solution

The third proportional to 133,920 and 207,216 is: 320,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 207,216 = 207,216 : x
  2. Step 2: Convert to fraction form
    133,920/207,216 = 207,216/x
  3. Step 3: Cross multiply
    133,920x = 207,216 × 207,216
  4. Step 4: Simplify right side
    133,920x = 42,938,470,656
  5. Step 5: Solve for x
    x = 42,938,470,656/133,920
  6. Step 6: Final answer
    x = 320,627.77

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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.