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Finding the Third Proportional to 454,278 and 988,098

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Solution

The third proportional to 454,278 and 988,098 is: 2,149,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,278 : 988,098 = 988,098 : x
  2. Step 2: Convert to fraction form
    454,278/988,098 = 988,098/x
  3. Step 3: Cross multiply
    454,278x = 988,098 × 988,098
  4. Step 4: Simplify right side
    454,278x = 976,337,657,604
  5. Step 5: Solve for x
    x = 976,337,657,604/454,278
  6. Step 6: Final answer
    x = 2,149,207.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.