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Finding the Third Proportional to 180,550 and 396,108

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Solution

The third proportional to 180,550 and 396,108 is: 869,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,550 : 396,108 = 396,108 : x
  2. Step 2: Convert to fraction form
    180,550/396,108 = 396,108/x
  3. Step 3: Cross multiply
    180,550x = 396,108 × 396,108
  4. Step 4: Simplify right side
    180,550x = 156,901,547,664
  5. Step 5: Solve for x
    x = 156,901,547,664/180,550
  6. Step 6: Final answer
    x = 869,019.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.