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Finding the Third Proportional to 256,020.75 and 557,186.63

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Solution

The third proportional to 256,020.75 and 557,186.63 is: 1,212,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.75 : 557,186.63 = 557,186.63 : x
  2. Step 2: Convert to fraction form
    256,020.75/557,186.63 = 557,186.63/x
  3. Step 3: Cross multiply
    256,020.75x = 557,186.63 × 557,186.63
  4. Step 4: Simplify right side
    256,020.75x = 310,456,935,078.89
  5. Step 5: Solve for x
    x = 310,456,935,078.89/256,020.75
  6. Step 6: Final answer
    x = 1,212,624.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.