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Finding the Third Proportional to 38,101.64 and 81,457.21

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Solution

The third proportional to 38,101.64 and 81,457.21 is: 174,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.64 : 81,457.21 = 81,457.21 : x
  2. Step 2: Convert to fraction form
    38,101.64/81,457.21 = 81,457.21/x
  3. Step 3: Cross multiply
    38,101.64x = 81,457.21 × 81,457.21
  4. Step 4: Simplify right side
    38,101.64x = 6,635,276,577.33
  5. Step 5: Solve for x
    x = 6,635,276,577.33/38,101.64
  6. Step 6: Final answer
    x = 174,146.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.