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Finding the Third Proportional to 209,569.50 and 331,989.75

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Solution

The third proportional to 209,569.50 and 331,989.75 is: 525,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,569.50 : 331,989.75 = 331,989.75 : x
  2. Step 2: Convert to fraction form
    209,569.50/331,989.75 = 331,989.75/x
  3. Step 3: Cross multiply
    209,569.50x = 331,989.75 × 331,989.75
  4. Step 4: Simplify right side
    209,569.50x = 110,217,194,105.06
  5. Step 5: Solve for x
    x = 110,217,194,105.06/209,569.50
  6. Step 6: Final answer
    x = 525,921.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.