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Finding the Third Proportional to 134,191 and 289,399

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Solution

The third proportional to 134,191 and 289,399 is: 624,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,191 : 289,399 = 289,399 : x
  2. Step 2: Convert to fraction form
    134,191/289,399 = 289,399/x
  3. Step 3: Cross multiply
    134,191x = 289,399 × 289,399
  4. Step 4: Simplify right side
    134,191x = 83,751,781,201
  5. Step 5: Solve for x
    x = 83,751,781,201/134,191
  6. Step 6: Final answer
    x = 624,123.68

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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.