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Finding the Third Proportional to 256,101.75 and 557,352

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Solution

The third proportional to 256,101.75 and 557,352 is: 1,212,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.75 : 557,352 = 557,352 : x
  2. Step 2: Convert to fraction form
    256,101.75/557,352 = 557,352/x
  3. Step 3: Cross multiply
    256,101.75x = 557,352 × 557,352
  4. Step 4: Simplify right side
    256,101.75x = 310,641,251,904
  5. Step 5: Solve for x
    x = 310,641,251,904/256,101.75
  6. Step 6: Final answer
    x = 1,212,960.29

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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.