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Finding the Third Proportional to 360,288 and 539,136

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Solution

The third proportional to 360,288 and 539,136 is: 806,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,288 : 539,136 = 539,136 : x
  2. Step 2: Convert to fraction form
    360,288/539,136 = 539,136/x
  3. Step 3: Cross multiply
    360,288x = 539,136 × 539,136
  4. Step 4: Simplify right side
    360,288x = 290,667,626,496
  5. Step 5: Solve for x
    x = 290,667,626,496/360,288
  6. Step 6: Final answer
    x = 806,764.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.