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Finding the Third Proportional to 305,288 and 657,232

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Solution

The third proportional to 305,288 and 657,232 is: 1,414,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,288 : 657,232 = 657,232 : x
  2. Step 2: Convert to fraction form
    305,288/657,232 = 657,232/x
  3. Step 3: Cross multiply
    305,288x = 657,232 × 657,232
  4. Step 4: Simplify right side
    305,288x = 431,953,901,824
  5. Step 5: Solve for x
    x = 431,953,901,824/305,288
  6. Step 6: Final answer
    x = 1,414,906.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.