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Finding the Third Proportional to 169,496.50 and 256,431.50

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Solution

The third proportional to 169,496.50 and 256,431.50 is: 387,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496.50 : 256,431.50 = 256,431.50 : x
  2. Step 2: Convert to fraction form
    169,496.50/256,431.50 = 256,431.50/x
  3. Step 3: Cross multiply
    169,496.50x = 256,431.50 × 256,431.50
  4. Step 4: Simplify right side
    169,496.50x = 65,757,114,192.25
  5. Step 5: Solve for x
    x = 65,757,114,192.25/169,496.50
  6. Step 6: Final answer
    x = 387,955.59

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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.