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Finding the Third Proportional to 133,770 and 207,352

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Solution

The third proportional to 133,770 and 207,352 is: 321,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770 : 207,352 = 207,352 : x
  2. Step 2: Convert to fraction form
    133,770/207,352 = 207,352/x
  3. Step 3: Cross multiply
    133,770x = 207,352 × 207,352
  4. Step 4: Simplify right side
    133,770x = 42,994,851,904
  5. Step 5: Solve for x
    x = 42,994,851,904/133,770
  6. Step 6: Final answer
    x = 321,408.78

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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.