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Finding the Third Proportional to 325,728 and 707,136

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Solution

The third proportional to 325,728 and 707,136 is: 1,535,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,728 : 707,136 = 707,136 : x
  2. Step 2: Convert to fraction form
    325,728/707,136 = 707,136/x
  3. Step 3: Cross multiply
    325,728x = 707,136 × 707,136
  4. Step 4: Simplify right side
    325,728x = 500,041,322,496
  5. Step 5: Solve for x
    x = 500,041,322,496/325,728
  6. Step 6: Final answer
    x = 1,535,149.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.