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Finding the Third Proportional to 154,999.50 and 340,491

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Solution

The third proportional to 154,999.50 and 340,491 is: 747,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,999.50 : 340,491 = 340,491 : x
  2. Step 2: Convert to fraction form
    154,999.50/340,491 = 340,491/x
  3. Step 3: Cross multiply
    154,999.50x = 340,491 × 340,491
  4. Step 4: Simplify right side
    154,999.50x = 115,934,121,081
  5. Step 5: Solve for x
    x = 115,934,121,081/154,999.50
  6. Step 6: Final answer
    x = 747,964.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.