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Finding the Third Proportional to 285,921 and 420,564

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Solution

The third proportional to 285,921 and 420,564 is: 618,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,921 : 420,564 = 420,564 : x
  2. Step 2: Convert to fraction form
    285,921/420,564 = 420,564/x
  3. Step 3: Cross multiply
    285,921x = 420,564 × 420,564
  4. Step 4: Simplify right side
    285,921x = 176,874,078,096
  5. Step 5: Solve for x
    x = 176,874,078,096/285,921
  6. Step 6: Final answer
    x = 618,611.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.