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Finding the Third Proportional to 313,808 and 480,136

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Solution

The third proportional to 313,808 and 480,136 is: 734,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,808 : 480,136 = 480,136 : x
  2. Step 2: Convert to fraction form
    313,808/480,136 = 480,136/x
  3. Step 3: Cross multiply
    313,808x = 480,136 × 480,136
  4. Step 4: Simplify right side
    313,808x = 230,530,578,496
  5. Step 5: Solve for x
    x = 230,530,578,496/313,808
  6. Step 6: Final answer
    x = 734,623.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.