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Finding the Third Proportional to 280,144 and 428,406

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Solution

The third proportional to 280,144 and 428,406 is: 655,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,144 : 428,406 = 428,406 : x
  2. Step 2: Convert to fraction form
    280,144/428,406 = 428,406/x
  3. Step 3: Cross multiply
    280,144x = 428,406 × 428,406
  4. Step 4: Simplify right side
    280,144x = 183,531,700,836
  5. Step 5: Solve for x
    x = 183,531,700,836/280,144
  6. Step 6: Final answer
    x = 655,133.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.