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Finding the Third Proportional to 211,708.13 and 301,797.56

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Solution

The third proportional to 211,708.13 and 301,797.56 is: 430,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,708.13 : 301,797.56 = 301,797.56 : x
  2. Step 2: Convert to fraction form
    211,708.13/301,797.56 = 301,797.56/x
  3. Step 3: Cross multiply
    211,708.13x = 301,797.56 × 301,797.56
  4. Step 4: Simplify right side
    211,708.13x = 91,081,768,730.94
  5. Step 5: Solve for x
    x = 91,081,768,730.94/211,708.13
  6. Step 6: Final answer
    x = 430,223.30

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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.