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Finding the Third Proportional to 213,908.06 and 328,820.63

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Solution

The third proportional to 213,908.06 and 328,820.63 is: 505,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,908.06 : 328,820.63 = 328,820.63 : x
  2. Step 2: Convert to fraction form
    213,908.06/328,820.63 = 328,820.63/x
  3. Step 3: Cross multiply
    213,908.06x = 328,820.63 × 328,820.63
  4. Step 4: Simplify right side
    213,908.06x = 108,123,003,425.39
  5. Step 5: Solve for x
    x = 108,123,003,425.39/213,908.06
  6. Step 6: Final answer
    x = 505,464.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.