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Finding the Third Proportional to 258,121 and 553,597

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Solution

The third proportional to 258,121 and 553,597 is: 1,187,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,121 : 553,597 = 553,597 : x
  2. Step 2: Convert to fraction form
    258,121/553,597 = 553,597/x
  3. Step 3: Cross multiply
    258,121x = 553,597 × 553,597
  4. Step 4: Simplify right side
    258,121x = 306,469,638,409
  5. Step 5: Solve for x
    x = 306,469,638,409/258,121
  6. Step 6: Final answer
    x = 1,187,309.98

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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.