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Finding the Third Proportional to 133,662 and 289,140

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Solution

The third proportional to 133,662 and 289,140 is: 625,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,662 : 289,140 = 289,140 : x
  2. Step 2: Convert to fraction form
    133,662/289,140 = 289,140/x
  3. Step 3: Cross multiply
    133,662x = 289,140 × 289,140
  4. Step 4: Simplify right side
    133,662x = 83,601,939,600
  5. Step 5: Solve for x
    x = 83,601,939,600/133,662
  6. Step 6: Final answer
    x = 625,472.76

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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.