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Finding the Third Proportional to 320,188 and 690,032

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Solution

The third proportional to 320,188 and 690,032 is: 1,487,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,188 : 690,032 = 690,032 : x
  2. Step 2: Convert to fraction form
    320,188/690,032 = 690,032/x
  3. Step 3: Cross multiply
    320,188x = 690,032 × 690,032
  4. Step 4: Simplify right side
    320,188x = 476,144,161,024
  5. Step 5: Solve for x
    x = 476,144,161,024/320,188
  6. Step 6: Final answer
    x = 1,487,076.85

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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.