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Finding the Third Proportional to 209,356.50 and 454,177.50

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Solution

The third proportional to 209,356.50 and 454,177.50 is: 985,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.50 : 454,177.50 = 454,177.50 : x
  2. Step 2: Convert to fraction form
    209,356.50/454,177.50 = 454,177.50/x
  3. Step 3: Cross multiply
    209,356.50x = 454,177.50 × 454,177.50
  4. Step 4: Simplify right side
    209,356.50x = 206,277,201,506.25
  5. Step 5: Solve for x
    x = 206,277,201,506.25/209,356.50
  6. Step 6: Final answer
    x = 985,291.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.