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Finding the Third Proportional to 82,360.41 and 180,480.09

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Solution

The third proportional to 82,360.41 and 180,480.09 is: 395,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,360.41 : 180,480.09 = 180,480.09 : x
  2. Step 2: Convert to fraction form
    82,360.41/180,480.09 = 180,480.09/x
  3. Step 3: Cross multiply
    82,360.41x = 180,480.09 × 180,480.09
  4. Step 4: Simplify right side
    82,360.41x = 32,573,064,240.01
  5. Step 5: Solve for x
    x = 32,573,064,240.01/82,360.41
  6. Step 6: Final answer
    x = 395,494.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.