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Finding the Third Proportional to 257,124 and 553,716

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Solution

The third proportional to 257,124 and 553,716 is: 1,192,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,124 : 553,716 = 553,716 : x
  2. Step 2: Convert to fraction form
    257,124/553,716 = 553,716/x
  3. Step 3: Cross multiply
    257,124x = 553,716 × 553,716
  4. Step 4: Simplify right side
    257,124x = 306,601,408,656
  5. Step 5: Solve for x
    x = 306,601,408,656/257,124
  6. Step 6: Final answer
    x = 1,192,426.26

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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.