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Finding the Third Proportional to 217,257.50 and 318,109.50

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Solution

The third proportional to 217,257.50 and 318,109.50 is: 465,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,257.50 : 318,109.50 = 318,109.50 : x
  2. Step 2: Convert to fraction form
    217,257.50/318,109.50 = 318,109.50/x
  3. Step 3: Cross multiply
    217,257.50x = 318,109.50 × 318,109.50
  4. Step 4: Simplify right side
    217,257.50x = 101,193,653,990.25
  5. Step 5: Solve for x
    x = 101,193,653,990.25/217,257.50
  6. Step 6: Final answer
    x = 465,777.49

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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.