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Finding the Third Proportional to 169,497 and 256,433

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Solution

The third proportional to 169,497 and 256,433 is: 387,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,497 : 256,433 = 256,433 : x
  2. Step 2: Convert to fraction form
    169,497/256,433 = 256,433/x
  3. Step 3: Cross multiply
    169,497x = 256,433 × 256,433
  4. Step 4: Simplify right side
    169,497x = 65,757,883,489
  5. Step 5: Solve for x
    x = 65,757,883,489/169,497
  6. Step 6: Final answer
    x = 387,958.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.