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Finding the Third Proportional to 454,207.50 and 985,686

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Solution

The third proportional to 454,207.50 and 985,686 is: 2,139,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,207.50 : 985,686 = 985,686 : x
  2. Step 2: Convert to fraction form
    454,207.50/985,686 = 985,686/x
  3. Step 3: Cross multiply
    454,207.50x = 985,686 × 985,686
  4. Step 4: Simplify right side
    454,207.50x = 971,576,890,596
  5. Step 5: Solve for x
    x = 971,576,890,596/454,207.50
  6. Step 6: Final answer
    x = 2,139,059.55

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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.