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Finding the Third Proportional to 256,345 and 552,135

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Solution

The third proportional to 256,345 and 552,135 is: 1,189,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,345 : 552,135 = 552,135 : x
  2. Step 2: Convert to fraction form
    256,345/552,135 = 552,135/x
  3. Step 3: Cross multiply
    256,345x = 552,135 × 552,135
  4. Step 4: Simplify right side
    256,345x = 304,853,058,225
  5. Step 5: Solve for x
    x = 304,853,058,225/256,345
  6. Step 6: Final answer
    x = 1,189,229.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.