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Finding the Third Proportional to 426,971 and 919,921

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Solution

The third proportional to 426,971 and 919,921 is: 1,981,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,971 : 919,921 = 919,921 : x
  2. Step 2: Convert to fraction form
    426,971/919,921 = 919,921/x
  3. Step 3: Cross multiply
    426,971x = 919,921 × 919,921
  4. Step 4: Simplify right side
    426,971x = 846,254,646,241
  5. Step 5: Solve for x
    x = 846,254,646,241/426,971
  6. Step 6: Final answer
    x = 1,981,995.61

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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.