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Finding the Third Proportional to 133,620 and 289,056

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Solution

The third proportional to 133,620 and 289,056 is: 625,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,620 : 289,056 = 289,056 : x
  2. Step 2: Convert to fraction form
    133,620/289,056 = 289,056/x
  3. Step 3: Cross multiply
    133,620x = 289,056 × 289,056
  4. Step 4: Simplify right side
    133,620x = 83,553,371,136
  5. Step 5: Solve for x
    x = 83,553,371,136/133,620
  6. Step 6: Final answer
    x = 625,305.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.