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Finding the Third Proportional to 289,937 and 433,555

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Solution

The third proportional to 289,937 and 433,555 is: 648,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,937 : 433,555 = 433,555 : x
  2. Step 2: Convert to fraction form
    289,937/433,555 = 433,555/x
  3. Step 3: Cross multiply
    289,937x = 433,555 × 433,555
  4. Step 4: Simplify right side
    289,937x = 187,969,938,025
  5. Step 5: Solve for x
    x = 187,969,938,025/289,937
  6. Step 6: Final answer
    x = 648,313.04

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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.