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Finding the Third Proportional to 215,422.88 and 340,954.31

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Solution

The third proportional to 215,422.88 and 340,954.31 is: 539,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,422.88 : 340,954.31 = 340,954.31 : x
  2. Step 2: Convert to fraction form
    215,422.88/340,954.31 = 340,954.31/x
  3. Step 3: Cross multiply
    215,422.88x = 340,954.31 × 340,954.31
  4. Step 4: Simplify right side
    215,422.88x = 116,249,843,212.35
  5. Step 5: Solve for x
    x = 116,249,843,212.35/215,422.88
  6. Step 6: Final answer
    x = 539,635.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.