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Finding the Third Proportional to 129,450 and 289,032

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Solution

The third proportional to 129,450 and 289,032 is: 645,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,450 : 289,032 = 289,032 : x
  2. Step 2: Convert to fraction form
    129,450/289,032 = 289,032/x
  3. Step 3: Cross multiply
    129,450x = 289,032 × 289,032
  4. Step 4: Simplify right side
    129,450x = 83,539,497,024
  5. Step 5: Solve for x
    x = 83,539,497,024/129,450
  6. Step 6: Final answer
    x = 645,341.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.