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Finding the Third Proportional to 206,915 and 330,596.50

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Solution

The third proportional to 206,915 and 330,596.50 is: 528,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,915 : 330,596.50 = 330,596.50 : x
  2. Step 2: Convert to fraction form
    206,915/330,596.50 = 330,596.50/x
  3. Step 3: Cross multiply
    206,915x = 330,596.50 × 330,596.50
  4. Step 4: Simplify right side
    206,915x = 109,294,045,812.25
  5. Step 5: Solve for x
    x = 109,294,045,812.25/206,915
  6. Step 6: Final answer
    x = 528,207.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.