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Finding the Third Proportional to 180,144 and 391,056

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Solution

The third proportional to 180,144 and 391,056 is: 848,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,144 : 391,056 = 391,056 : x
  2. Step 2: Convert to fraction form
    180,144/391,056 = 391,056/x
  3. Step 3: Cross multiply
    180,144x = 391,056 × 391,056
  4. Step 4: Simplify right side
    180,144x = 152,924,795,136
  5. Step 5: Solve for x
    x = 152,924,795,136/180,144
  6. Step 6: Final answer
    x = 848,903.07

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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.