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Finding the Third Proportional to 256,537.13 and 397,259.44

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Solution

The third proportional to 256,537.13 and 397,259.44 is: 615,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,537.13 : 397,259.44 = 397,259.44 : x
  2. Step 2: Convert to fraction form
    256,537.13/397,259.44 = 397,259.44/x
  3. Step 3: Cross multiply
    256,537.13x = 397,259.44 × 397,259.44
  4. Step 4: Simplify right side
    256,537.13x = 157,815,060,682.82
  5. Step 5: Solve for x
    x = 157,815,060,682.82/256,537.13
  6. Step 6: Final answer
    x = 615,174.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.