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Finding the Third Proportional to 217,263.94 and 318,118.50

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Solution

The third proportional to 217,263.94 and 318,118.50 is: 465,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,263.94 : 318,118.50 = 318,118.50 : x
  2. Step 2: Convert to fraction form
    217,263.94/318,118.50 = 318,118.50/x
  3. Step 3: Cross multiply
    217,263.94x = 318,118.50 × 318,118.50
  4. Step 4: Simplify right side
    217,263.94x = 101,199,380,042.25
  5. Step 5: Solve for x
    x = 101,199,380,042.25/217,263.94
  6. Step 6: Final answer
    x = 465,790.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.