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Finding the Third Proportional to 72,786 and 154,319

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Solution

The third proportional to 72,786 and 154,319 is: 327,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,786 : 154,319 = 154,319 : x
  2. Step 2: Convert to fraction form
    72,786/154,319 = 154,319/x
  3. Step 3: Cross multiply
    72,786x = 154,319 × 154,319
  4. Step 4: Simplify right side
    72,786x = 23,814,353,761
  5. Step 5: Solve for x
    x = 23,814,353,761/72,786
  6. Step 6: Final answer
    x = 327,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.