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Finding the Third Proportional to 258,021.56 and 398,536.88

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Solution

The third proportional to 258,021.56 and 398,536.88 is: 615,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,021.56 : 398,536.88 = 398,536.88 : x
  2. Step 2: Convert to fraction form
    258,021.56/398,536.88 = 398,536.88/x
  3. Step 3: Cross multiply
    258,021.56x = 398,536.88 × 398,536.88
  4. Step 4: Simplify right side
    258,021.56x = 158,831,640,734.77
  5. Step 5: Solve for x
    x = 158,831,640,734.77/258,021.56
  6. Step 6: Final answer
    x = 615,575.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.