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Finding the Third Proportional to 76,354.31 and 154,760.63

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Solution

The third proportional to 76,354.31 and 154,760.63 is: 313,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.31 : 154,760.63 = 154,760.63 : x
  2. Step 2: Convert to fraction form
    76,354.31/154,760.63 = 154,760.63/x
  3. Step 3: Cross multiply
    76,354.31x = 154,760.63 × 154,760.63
  4. Step 4: Simplify right side
    76,354.31x = 23,950,851,050.39
  5. Step 5: Solve for x
    x = 23,950,851,050.39/76,354.31
  6. Step 6: Final answer
    x = 313,680.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.