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Finding the Third Proportional to 211,320 and 309,393.56

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Solution

The third proportional to 211,320 and 309,393.56 is: 452,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,320 : 309,393.56 = 309,393.56 : x
  2. Step 2: Convert to fraction form
    211,320/309,393.56 = 309,393.56/x
  3. Step 3: Cross multiply
    211,320x = 309,393.56 × 309,393.56
  4. Step 4: Simplify right side
    211,320x = 95,724,376,516.44
  5. Step 5: Solve for x
    x = 95,724,376,516.44/211,320
  6. Step 6: Final answer
    x = 452,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.