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Finding the Third Proportional to 194,658 and 420,388

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Solution

The third proportional to 194,658 and 420,388 is: 907,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,658 : 420,388 = 420,388 : x
  2. Step 2: Convert to fraction form
    194,658/420,388 = 420,388/x
  3. Step 3: Cross multiply
    194,658x = 420,388 × 420,388
  4. Step 4: Simplify right side
    194,658x = 176,726,070,544
  5. Step 5: Solve for x
    x = 176,726,070,544/194,658
  6. Step 6: Final answer
    x = 907,879.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.