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Finding the Third Proportional to 154,830 and 340,107.75

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Solution

The third proportional to 154,830 and 340,107.75 is: 747,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830 : 340,107.75 = 340,107.75 : x
  2. Step 2: Convert to fraction form
    154,830/340,107.75 = 340,107.75/x
  3. Step 3: Cross multiply
    154,830x = 340,107.75 × 340,107.75
  4. Step 4: Simplify right side
    154,830x = 115,673,281,610.06
  5. Step 5: Solve for x
    x = 115,673,281,610.06/154,830
  6. Step 6: Final answer
    x = 747,098.63

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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.