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Finding the Third Proportional to 256,509 and 556,827.75

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Solution

The third proportional to 256,509 and 556,827.75 is: 1,208,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,509 : 556,827.75 = 556,827.75 : x
  2. Step 2: Convert to fraction form
    256,509/556,827.75 = 556,827.75/x
  3. Step 3: Cross multiply
    256,509x = 556,827.75 × 556,827.75
  4. Step 4: Simplify right side
    256,509x = 310,057,143,170.06
  5. Step 5: Solve for x
    x = 310,057,143,170.06/256,509
  6. Step 6: Final answer
    x = 1,208,757.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.