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Finding the Third Proportional to 829,708 and 1,820,120

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Solution

The third proportional to 829,708 and 1,820,120 is: 3,992,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,708 : 1,820,120 = 1,820,120 : x
  2. Step 2: Convert to fraction form
    829,708/1,820,120 = 1,820,120/x
  3. Step 3: Cross multiply
    829,708x = 1,820,120 × 1,820,120
  4. Step 4: Simplify right side
    829,708x = 3,312,836,814,400
  5. Step 5: Solve for x
    x = 3,312,836,814,400/829,708
  6. Step 6: Final answer
    x = 3,992,774.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.