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Finding the Third Proportional to 256,431.75 and 366,149.25

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Solution

The third proportional to 256,431.75 and 366,149.25 is: 522,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,431.75 : 366,149.25 = 366,149.25 : x
  2. Step 2: Convert to fraction form
    256,431.75/366,149.25 = 366,149.25/x
  3. Step 3: Cross multiply
    256,431.75x = 366,149.25 × 366,149.25
  4. Step 4: Simplify right side
    256,431.75x = 134,065,273,275.56
  5. Step 5: Solve for x
    x = 134,065,273,275.56/256,431.75
  6. Step 6: Final answer
    x = 522,810.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.