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Finding the Third Proportional to 316,611 and 683,739

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Solution

The third proportional to 316,611 and 683,739 is: 1,476,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,611 : 683,739 = 683,739 : x
  2. Step 2: Convert to fraction form
    316,611/683,739 = 683,739/x
  3. Step 3: Cross multiply
    316,611x = 683,739 × 683,739
  4. Step 4: Simplify right side
    316,611x = 467,499,020,121
  5. Step 5: Solve for x
    x = 467,499,020,121/316,611
  6. Step 6: Final answer
    x = 1,476,572.26

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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.