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Finding the Third Proportional to 216,991.41 and 331,740.56

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Solution

The third proportional to 216,991.41 and 331,740.56 is: 507,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,991.41 : 331,740.56 = 331,740.56 : x
  2. Step 2: Convert to fraction form
    216,991.41/331,740.56 = 331,740.56/x
  3. Step 3: Cross multiply
    216,991.41x = 331,740.56 × 331,740.56
  4. Step 4: Simplify right side
    216,991.41x = 110,051,800,807.82
  5. Step 5: Solve for x
    x = 110,051,800,807.82/216,991.41
  6. Step 6: Final answer
    x = 507,171.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.