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Finding the Third Proportional to 426,194 and 647,066

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Solution

The third proportional to 426,194 and 647,066 is: 982,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,194 : 647,066 = 647,066 : x
  2. Step 2: Convert to fraction form
    426,194/647,066 = 647,066/x
  3. Step 3: Cross multiply
    426,194x = 647,066 × 647,066
  4. Step 4: Simplify right side
    426,194x = 418,694,408,356
  5. Step 5: Solve for x
    x = 418,694,408,356/426,194
  6. Step 6: Final answer
    x = 982,403.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.