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Finding the Third Proportional to 256,846.22 and 409,055.48

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Solution

The third proportional to 256,846.22 and 409,055.48 is: 651,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846.22 : 409,055.48 = 409,055.48 : x
  2. Step 2: Convert to fraction form
    256,846.22/409,055.48 = 409,055.48/x
  3. Step 3: Cross multiply
    256,846.22x = 409,055.48 × 409,055.48
  4. Step 4: Simplify right side
    256,846.22x = 167,326,389,297.27
  5. Step 5: Solve for x
    x = 167,326,389,297.27/256,846.22
  6. Step 6: Final answer
    x = 651,465.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.