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Finding the Third Proportional to 320,184 and 690,024

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Solution

The third proportional to 320,184 and 690,024 is: 1,487,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,184 : 690,024 = 690,024 : x
  2. Step 2: Convert to fraction form
    320,184/690,024 = 690,024/x
  3. Step 3: Cross multiply
    320,184x = 690,024 × 690,024
  4. Step 4: Simplify right side
    320,184x = 476,133,120,576
  5. Step 5: Solve for x
    x = 476,133,120,576/320,184
  6. Step 6: Final answer
    x = 1,487,060.94

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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.