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Finding the Third Proportional to 210,731.63 and 330,216.75

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Solution

The third proportional to 210,731.63 and 330,216.75 is: 517,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,731.63 : 330,216.75 = 330,216.75 : x
  2. Step 2: Convert to fraction form
    210,731.63/330,216.75 = 330,216.75/x
  3. Step 3: Cross multiply
    210,731.63x = 330,216.75 × 330,216.75
  4. Step 4: Simplify right side
    210,731.63x = 109,043,101,980.56
  5. Step 5: Solve for x
    x = 109,043,101,980.56/210,731.63
  6. Step 6: Final answer
    x = 517,450.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.