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Finding the Third Proportional to 289,341 and 433,728

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Solution

The third proportional to 289,341 and 433,728 is: 650,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,341 : 433,728 = 433,728 : x
  2. Step 2: Convert to fraction form
    289,341/433,728 = 433,728/x
  3. Step 3: Cross multiply
    289,341x = 433,728 × 433,728
  4. Step 4: Simplify right side
    289,341x = 188,119,977,984
  5. Step 5: Solve for x
    x = 188,119,977,984/289,341
  6. Step 6: Final answer
    x = 650,167.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.