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Finding the Third Proportional to 316,821 and 486,318

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Solution

The third proportional to 316,821 and 486,318 is: 746,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,821 : 486,318 = 486,318 : x
  2. Step 2: Convert to fraction form
    316,821/486,318 = 486,318/x
  3. Step 3: Cross multiply
    316,821x = 486,318 × 486,318
  4. Step 4: Simplify right side
    316,821x = 236,505,197,124
  5. Step 5: Solve for x
    x = 236,505,197,124/316,821
  6. Step 6: Final answer
    x = 746,494.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.