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Finding the Third Proportional to 421,921 and 911,320

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Solution

The third proportional to 421,921 and 911,320 is: 1,968,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,921 : 911,320 = 911,320 : x
  2. Step 2: Convert to fraction form
    421,921/911,320 = 911,320/x
  3. Step 3: Cross multiply
    421,921x = 911,320 × 911,320
  4. Step 4: Simplify right side
    421,921x = 830,504,142,400
  5. Step 5: Solve for x
    x = 830,504,142,400/421,921
  6. Step 6: Final answer
    x = 1,968,387.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.