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Finding the Third Proportional to 219,240 and 330,304.50

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Solution

The third proportional to 219,240 and 330,304.50 is: 497,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,240 : 330,304.50 = 330,304.50 : x
  2. Step 2: Convert to fraction form
    219,240/330,304.50 = 330,304.50/x
  3. Step 3: Cross multiply
    219,240x = 330,304.50 × 330,304.50
  4. Step 4: Simplify right side
    219,240x = 109,101,062,720.25
  5. Step 5: Solve for x
    x = 109,101,062,720.25/219,240
  6. Step 6: Final answer
    x = 497,633.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.