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Finding the Third Proportional to 285,933 and 420,579

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Solution

The third proportional to 285,933 and 420,579 is: 618,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,933 : 420,579 = 420,579 : x
  2. Step 2: Convert to fraction form
    285,933/420,579 = 420,579/x
  3. Step 3: Cross multiply
    285,933x = 420,579 × 420,579
  4. Step 4: Simplify right side
    285,933x = 176,886,695,241
  5. Step 5: Solve for x
    x = 176,886,695,241/285,933
  6. Step 6: Final answer
    x = 618,629.87

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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.