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Finding the Third Proportional to 257,069 and 553,504

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Solution

The third proportional to 257,069 and 553,504 is: 1,191,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069 : 553,504 = 553,504 : x
  2. Step 2: Convert to fraction form
    257,069/553,504 = 553,504/x
  3. Step 3: Cross multiply
    257,069x = 553,504 × 553,504
  4. Step 4: Simplify right side
    257,069x = 306,366,678,016
  5. Step 5: Solve for x
    x = 306,366,678,016/257,069
  6. Step 6: Final answer
    x = 1,191,768.27

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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.