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Finding the Third Proportional to 231,888 and 330,821.50

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Solution

The third proportional to 231,888 and 330,821.50 is: 471,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,888 : 330,821.50 = 330,821.50 : x
  2. Step 2: Convert to fraction form
    231,888/330,821.50 = 330,821.50/x
  3. Step 3: Cross multiply
    231,888x = 330,821.50 × 330,821.50
  4. Step 4: Simplify right side
    231,888x = 109,442,864,862.25
  5. Step 5: Solve for x
    x = 109,442,864,862.25/231,888
  6. Step 6: Final answer
    x = 471,964.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.