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Finding the Third Proportional to 257,120 and 553,704

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Solution

The third proportional to 257,120 and 553,704 is: 1,192,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,120 : 553,704 = 553,704 : x
  2. Step 2: Convert to fraction form
    257,120/553,704 = 553,704/x
  3. Step 3: Cross multiply
    257,120x = 553,704 × 553,704
  4. Step 4: Simplify right side
    257,120x = 306,588,119,616
  5. Step 5: Solve for x
    x = 306,588,119,616/257,120
  6. Step 6: Final answer
    x = 1,192,393.12

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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.