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Finding the Third Proportional to 289,800 and 426,037.50

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Solution

The third proportional to 289,800 and 426,037.50 is: 626,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,800 : 426,037.50 = 426,037.50 : x
  2. Step 2: Convert to fraction form
    289,800/426,037.50 = 426,037.50/x
  3. Step 3: Cross multiply
    289,800x = 426,037.50 × 426,037.50
  4. Step 4: Simplify right side
    289,800x = 181,507,951,406.25
  5. Step 5: Solve for x
    x = 181,507,951,406.25/289,800
  6. Step 6: Final answer
    x = 626,321.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.