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Finding the Third Proportional to 219,015.56 and 455,464.69

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Solution

The third proportional to 219,015.56 and 455,464.69 is: 947,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,015.56 : 455,464.69 = 455,464.69 : x
  2. Step 2: Convert to fraction form
    219,015.56/455,464.69 = 455,464.69/x
  3. Step 3: Cross multiply
    219,015.56x = 455,464.69 × 455,464.69
  4. Step 4: Simplify right side
    219,015.56x = 207,448,081,559.47
  5. Step 5: Solve for x
    x = 207,448,081,559.47/219,015.56
  6. Step 6: Final answer
    x = 947,184.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.