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Finding the Third Proportional to 256,209.75 and 369,087.75

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Solution

The third proportional to 256,209.75 and 369,087.75 is: 531,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,209.75 : 369,087.75 = 369,087.75 : x
  2. Step 2: Convert to fraction form
    256,209.75/369,087.75 = 369,087.75/x
  3. Step 3: Cross multiply
    256,209.75x = 369,087.75 × 369,087.75
  4. Step 4: Simplify right side
    256,209.75x = 136,225,767,200.06
  5. Step 5: Solve for x
    x = 136,225,767,200.06/256,209.75
  6. Step 6: Final answer
    x = 531,696.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.