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Finding the Third Proportional to 214,387.88 and 423,354.38

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Solution

The third proportional to 214,387.88 and 423,354.38 is: 836,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,387.88 : 423,354.38 = 423,354.38 : x
  2. Step 2: Convert to fraction form
    214,387.88/423,354.38 = 423,354.38/x
  3. Step 3: Cross multiply
    214,387.88x = 423,354.38 × 423,354.38
  4. Step 4: Simplify right side
    214,387.88x = 179,228,926,831.64
  5. Step 5: Solve for x
    x = 179,228,926,831.64/214,387.88
  6. Step 6: Final answer
    x = 836,003.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.