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Finding the Third Proportional to 120,765 and 158,841

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Solution

The third proportional to 120,765 and 158,841 is: 208,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765 : 158,841 = 158,841 : x
  2. Step 2: Convert to fraction form
    120,765/158,841 = 158,841/x
  3. Step 3: Cross multiply
    120,765x = 158,841 × 158,841
  4. Step 4: Simplify right side
    120,765x = 25,230,463,281
  5. Step 5: Solve for x
    x = 25,230,463,281/120,765
  6. Step 6: Final answer
    x = 208,921.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.