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Finding the Third Proportional to 81,405.56 and 174,492.84

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Solution

The third proportional to 81,405.56 and 174,492.84 is: 374,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.56 : 174,492.84 = 174,492.84 : x
  2. Step 2: Convert to fraction form
    81,405.56/174,492.84 = 174,492.84/x
  3. Step 3: Cross multiply
    81,405.56x = 174,492.84 × 174,492.84
  4. Step 4: Simplify right side
    81,405.56x = 30,447,752,519.96
  5. Step 5: Solve for x
    x = 30,447,752,519.96/81,405.56
  6. Step 6: Final answer
    x = 374,025.45

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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.