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Finding the Third Proportional to 208,360 and 321,186

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Solution

The third proportional to 208,360 and 321,186 is: 495,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,360 : 321,186 = 321,186 : x
  2. Step 2: Convert to fraction form
    208,360/321,186 = 321,186/x
  3. Step 3: Cross multiply
    208,360x = 321,186 × 321,186
  4. Step 4: Simplify right side
    208,360x = 103,160,446,596
  5. Step 5: Solve for x
    x = 103,160,446,596/208,360
  6. Step 6: Final answer
    x = 495,106.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.