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Finding the Third Proportional to 316,978 and 683,894

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Solution

The third proportional to 316,978 and 683,894 is: 1,475,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,978 : 683,894 = 683,894 : x
  2. Step 2: Convert to fraction form
    316,978/683,894 = 683,894/x
  3. Step 3: Cross multiply
    316,978x = 683,894 × 683,894
  4. Step 4: Simplify right side
    316,978x = 467,711,003,236
  5. Step 5: Solve for x
    x = 467,711,003,236/316,978
  6. Step 6: Final answer
    x = 1,475,531.44

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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.