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Finding the Third Proportional to 209,271.30 and 454,218.05

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Solution

The third proportional to 209,271.30 and 454,218.05 is: 985,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,271.30 : 454,218.05 = 454,218.05 : x
  2. Step 2: Convert to fraction form
    209,271.30/454,218.05 = 454,218.05/x
  3. Step 3: Cross multiply
    209,271.30x = 454,218.05 × 454,218.05
  4. Step 4: Simplify right side
    209,271.30x = 206,314,034,106.94
  5. Step 5: Solve for x
    x = 206,314,034,106.94/209,271.30
  6. Step 6: Final answer
    x = 985,868.72

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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.