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Finding the Third Proportional to 256,743 and 531,468

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Solution

The third proportional to 256,743 and 531,468 is: 1,100,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,743 : 531,468 = 531,468 : x
  2. Step 2: Convert to fraction form
    256,743/531,468 = 531,468/x
  3. Step 3: Cross multiply
    256,743x = 531,468 × 531,468
  4. Step 4: Simplify right side
    256,743x = 282,458,235,024
  5. Step 5: Solve for x
    x = 282,458,235,024/256,743
  6. Step 6: Final answer
    x = 1,100,159.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.