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Finding the Third Proportional to 215,557.88 and 326,318.63

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Solution

The third proportional to 215,557.88 and 326,318.63 is: 493,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,557.88 : 326,318.63 = 326,318.63 : x
  2. Step 2: Convert to fraction form
    215,557.88/326,318.63 = 326,318.63/x
  3. Step 3: Cross multiply
    215,557.88x = 326,318.63 × 326,318.63
  4. Step 4: Simplify right side
    215,557.88x = 106,483,845,021.89
  5. Step 5: Solve for x
    x = 106,483,845,021.89/215,557.88
  6. Step 6: Final answer
    x = 493,991.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.