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Finding the Third Proportional to 316,595 and 665,991

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Solution

The third proportional to 316,595 and 665,991 is: 1,400,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,595 : 665,991 = 665,991 : x
  2. Step 2: Convert to fraction form
    316,595/665,991 = 665,991/x
  3. Step 3: Cross multiply
    316,595x = 665,991 × 665,991
  4. Step 4: Simplify right side
    316,595x = 443,544,012,081
  5. Step 5: Solve for x
    x = 443,544,012,081/316,595
  6. Step 6: Final answer
    x = 1,400,982.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.