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Finding the Third Proportional to 208,808 and 447,136

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Solution

The third proportional to 208,808 and 447,136 is: 957,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,808 : 447,136 = 447,136 : x
  2. Step 2: Convert to fraction form
    208,808/447,136 = 447,136/x
  3. Step 3: Cross multiply
    208,808x = 447,136 × 447,136
  4. Step 4: Simplify right side
    208,808x = 199,930,602,496
  5. Step 5: Solve for x
    x = 199,930,602,496/208,808
  6. Step 6: Final answer
    x = 957,485.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.