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Finding the Third Proportional to 256,441.78 and 558,035.16

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Solution

The third proportional to 256,441.78 and 558,035.16 is: 1,214,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,441.78 : 558,035.16 = 558,035.16 : x
  2. Step 2: Convert to fraction form
    256,441.78/558,035.16 = 558,035.16/x
  3. Step 3: Cross multiply
    256,441.78x = 558,035.16 × 558,035.16
  4. Step 4: Simplify right side
    256,441.78x = 311,403,235,610.96
  5. Step 5: Solve for x
    x = 311,403,235,610.96/256,441.78
  6. Step 6: Final answer
    x = 1,214,323.32

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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.