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Finding the Third Proportional to 208,414 and 431,120

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Solution

The third proportional to 208,414 and 431,120 is: 891,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414 : 431,120 = 431,120 : x
  2. Step 2: Convert to fraction form
    208,414/431,120 = 431,120/x
  3. Step 3: Cross multiply
    208,414x = 431,120 × 431,120
  4. Step 4: Simplify right side
    208,414x = 185,864,454,400
  5. Step 5: Solve for x
    x = 185,864,454,400/208,414
  6. Step 6: Final answer
    x = 891,804.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.