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Finding the Third Proportional to 129,462 and 289,050

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Solution

The third proportional to 129,462 and 289,050 is: 645,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,462 : 289,050 = 289,050 : x
  2. Step 2: Convert to fraction form
    129,462/289,050 = 289,050/x
  3. Step 3: Cross multiply
    129,462x = 289,050 × 289,050
  4. Step 4: Simplify right side
    129,462x = 83,549,902,500
  5. Step 5: Solve for x
    x = 83,549,902,500/129,462
  6. Step 6: Final answer
    x = 645,362.37

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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.