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Finding the Third Proportional to 285,466 and 428,197

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Solution

The third proportional to 285,466 and 428,197 is: 642,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466 : 428,197 = 428,197 : x
  2. Step 2: Convert to fraction form
    285,466/428,197 = 428,197/x
  3. Step 3: Cross multiply
    285,466x = 428,197 × 428,197
  4. Step 4: Simplify right side
    285,466x = 183,352,670,809
  5. Step 5: Solve for x
    x = 183,352,670,809/285,466
  6. Step 6: Final answer
    x = 642,292.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.