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Finding the Third Proportional to 207,256 and 433,280

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Solution

The third proportional to 207,256 and 433,280 is: 905,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,256 : 433,280 = 433,280 : x
  2. Step 2: Convert to fraction form
    207,256/433,280 = 433,280/x
  3. Step 3: Cross multiply
    207,256x = 433,280 × 433,280
  4. Step 4: Simplify right side
    207,256x = 187,731,558,400
  5. Step 5: Solve for x
    x = 187,731,558,400/207,256
  6. Step 6: Final answer
    x = 905,795.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.