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Finding the Third Proportional to 257,104 and 553,670

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Solution

The third proportional to 257,104 and 553,670 is: 1,192,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,104 : 553,670 = 553,670 : x
  2. Step 2: Convert to fraction form
    257,104/553,670 = 553,670/x
  3. Step 3: Cross multiply
    257,104x = 553,670 × 553,670
  4. Step 4: Simplify right side
    257,104x = 306,550,468,900
  5. Step 5: Solve for x
    x = 306,550,468,900/257,104
  6. Step 6: Final answer
    x = 1,192,320.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.