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Finding the Third Proportional to 178,094 and 420,422

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Solution

The third proportional to 178,094 and 420,422 is: 992,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094 : 420,422 = 420,422 : x
  2. Step 2: Convert to fraction form
    178,094/420,422 = 420,422/x
  3. Step 3: Cross multiply
    178,094x = 420,422 × 420,422
  4. Step 4: Simplify right side
    178,094x = 176,754,658,084
  5. Step 5: Solve for x
    x = 176,754,658,084/178,094
  6. Step 6: Final answer
    x = 992,479.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.