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Finding the Third Proportional to 133,136 and 289,600

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Solution

The third proportional to 133,136 and 289,600 is: 629,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,136 : 289,600 = 289,600 : x
  2. Step 2: Convert to fraction form
    133,136/289,600 = 289,600/x
  3. Step 3: Cross multiply
    133,136x = 289,600 × 289,600
  4. Step 4: Simplify right side
    133,136x = 83,868,160,000
  5. Step 5: Solve for x
    x = 83,868,160,000/133,136
  6. Step 6: Final answer
    x = 629,943.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.