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Finding the Third Proportional to 74,005.31 and 114,799.78

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Solution

The third proportional to 74,005.31 and 114,799.78 is: 178,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,005.31 : 114,799.78 = 114,799.78 : x
  2. Step 2: Convert to fraction form
    74,005.31/114,799.78 = 114,799.78/x
  3. Step 3: Cross multiply
    74,005.31x = 114,799.78 × 114,799.78
  4. Step 4: Simplify right side
    74,005.31x = 13,178,989,775.05
  5. Step 5: Solve for x
    x = 13,178,989,775.05/74,005.31
  6. Step 6: Final answer
    x = 178,081.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.