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Finding the Third Proportional to 154,036.69 and 330,991.31

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Solution

The third proportional to 154,036.69 and 330,991.31 is: 711,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,036.69 : 330,991.31 = 330,991.31 : x
  2. Step 2: Convert to fraction form
    154,036.69/330,991.31 = 330,991.31/x
  3. Step 3: Cross multiply
    154,036.69x = 330,991.31 × 330,991.31
  4. Step 4: Simplify right side
    154,036.69x = 109,555,248,950.47
  5. Step 5: Solve for x
    x = 109,555,248,950.47/154,036.69
  6. Step 6: Final answer
    x = 711,228.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.