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Finding the Third Proportional to 253,497 and 539,271

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Solution

The third proportional to 253,497 and 539,271 is: 1,147,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,497 : 539,271 = 539,271 : x
  2. Step 2: Convert to fraction form
    253,497/539,271 = 539,271/x
  3. Step 3: Cross multiply
    253,497x = 539,271 × 539,271
  4. Step 4: Simplify right side
    253,497x = 290,813,211,441
  5. Step 5: Solve for x
    x = 290,813,211,441/253,497
  6. Step 6: Final answer
    x = 1,147,205.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.