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Finding the Third Proportional to 256,423.22 and 557,998.88

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Solution

The third proportional to 256,423.22 and 557,998.88 is: 1,214,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,423.22 : 557,998.88 = 557,998.88 : x
  2. Step 2: Convert to fraction form
    256,423.22/557,998.88 = 557,998.88/x
  3. Step 3: Cross multiply
    256,423.22x = 557,998.88 × 557,998.88
  4. Step 4: Simplify right side
    256,423.22x = 311,362,744,501.27
  5. Step 5: Solve for x
    x = 311,362,744,501.27/256,423.22
  6. Step 6: Final answer
    x = 1,214,253.32

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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.