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Finding the Third Proportional to 320,176 and 690,008

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Solution

The third proportional to 320,176 and 690,008 is: 1,487,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,176 : 690,008 = 690,008 : x
  2. Step 2: Convert to fraction form
    320,176/690,008 = 690,008/x
  3. Step 3: Cross multiply
    320,176x = 690,008 × 690,008
  4. Step 4: Simplify right side
    320,176x = 476,111,040,064
  5. Step 5: Solve for x
    x = 476,111,040,064/320,176
  6. Step 6: Final answer
    x = 1,487,029.13

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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.