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Finding the Third Proportional to 285,362 and 442,467

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Solution

The third proportional to 285,362 and 442,467 is: 686,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,362 : 442,467 = 442,467 : x
  2. Step 2: Convert to fraction form
    285,362/442,467 = 442,467/x
  3. Step 3: Cross multiply
    285,362x = 442,467 × 442,467
  4. Step 4: Simplify right side
    285,362x = 195,777,046,089
  5. Step 5: Solve for x
    x = 195,777,046,089/285,362
  6. Step 6: Final answer
    x = 686,065.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.