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Finding the Third Proportional to 320,181 and 690,018

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Solution

The third proportional to 320,181 and 690,018 is: 1,487,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,181 : 690,018 = 690,018 : x
  2. Step 2: Convert to fraction form
    320,181/690,018 = 690,018/x
  3. Step 3: Cross multiply
    320,181x = 690,018 × 690,018
  4. Step 4: Simplify right side
    320,181x = 476,124,840,324
  5. Step 5: Solve for x
    x = 476,124,840,324/320,181
  6. Step 6: Final answer
    x = 1,487,049.01

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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.