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Finding the Third Proportional to 320,144 and 689,944

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Solution

The third proportional to 320,144 and 689,944 is: 1,486,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,144 : 689,944 = 689,944 : x
  2. Step 2: Convert to fraction form
    320,144/689,944 = 689,944/x
  3. Step 3: Cross multiply
    320,144x = 689,944 × 689,944
  4. Step 4: Simplify right side
    320,144x = 476,022,723,136
  5. Step 5: Solve for x
    x = 476,022,723,136/320,144
  6. Step 6: Final answer
    x = 1,486,901.90

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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.