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Finding the Third Proportional to 985,434.75 and 2,118,165.75

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Solution

The third proportional to 985,434.75 and 2,118,165.75 is: 4,552,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,434.75 : 2,118,165.75 = 2,118,165.75 : x
  2. Step 2: Convert to fraction form
    985,434.75/2,118,165.75 = 2,118,165.75/x
  3. Step 3: Cross multiply
    985,434.75x = 2,118,165.75 × 2,118,165.75
  4. Step 4: Simplify right side
    985,434.75x = 4,486,626,144,473.06
  5. Step 5: Solve for x
    x = 4,486,626,144,473.06/985,434.75
  6. Step 6: Final answer
    x = 4,552,940.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.