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Finding the Third Proportional to 258,933 and 553,846

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Solution

The third proportional to 258,933 and 553,846 is: 1,184,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,933 : 553,846 = 553,846 : x
  2. Step 2: Convert to fraction form
    258,933/553,846 = 553,846/x
  3. Step 3: Cross multiply
    258,933x = 553,846 × 553,846
  4. Step 4: Simplify right side
    258,933x = 306,745,391,716
  5. Step 5: Solve for x
    x = 306,745,391,716/258,933
  6. Step 6: Final answer
    x = 1,184,651.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.