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Finding the Third Proportional to 270,554 and 428,392

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Solution

The third proportional to 270,554 and 428,392 is: 678,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,554 : 428,392 = 428,392 : x
  2. Step 2: Convert to fraction form
    270,554/428,392 = 428,392/x
  3. Step 3: Cross multiply
    270,554x = 428,392 × 428,392
  4. Step 4: Simplify right side
    270,554x = 183,519,705,664
  5. Step 5: Solve for x
    x = 183,519,705,664/270,554
  6. Step 6: Final answer
    x = 678,310.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.