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Finding the Third Proportional to 285,122 and 443,559

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Solution

The third proportional to 285,122 and 443,559 is: 690,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,122 : 443,559 = 443,559 : x
  2. Step 2: Convert to fraction form
    285,122/443,559 = 443,559/x
  3. Step 3: Cross multiply
    285,122x = 443,559 × 443,559
  4. Step 4: Simplify right side
    285,122x = 196,744,586,481
  5. Step 5: Solve for x
    x = 196,744,586,481/285,122
  6. Step 6: Final answer
    x = 690,036.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.