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Finding the Third Proportional to 256,421.06 and 557,994.38

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Solution

The third proportional to 256,421.06 and 557,994.38 is: 1,214,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,421.06 : 557,994.38 = 557,994.38 : x
  2. Step 2: Convert to fraction form
    256,421.06/557,994.38 = 557,994.38/x
  3. Step 3: Cross multiply
    256,421.06x = 557,994.38 × 557,994.38
  4. Step 4: Simplify right side
    256,421.06x = 311,357,722,531.64
  5. Step 5: Solve for x
    x = 311,357,722,531.64/256,421.06
  6. Step 6: Final answer
    x = 1,214,243.95

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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.