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Finding the Third Proportional to 180,802 and 388,814

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Solution

The third proportional to 180,802 and 388,814 is: 836,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,802 : 388,814 = 388,814 : x
  2. Step 2: Convert to fraction form
    180,802/388,814 = 388,814/x
  3. Step 3: Cross multiply
    180,802x = 388,814 × 388,814
  4. Step 4: Simplify right side
    180,802x = 151,176,326,596
  5. Step 5: Solve for x
    x = 151,176,326,596/180,802
  6. Step 6: Final answer
    x = 836,143.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.