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Finding the Third Proportional to 316,823 and 486,321

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Solution

The third proportional to 316,823 and 486,321 is: 746,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,823 : 486,321 = 486,321 : x
  2. Step 2: Convert to fraction form
    316,823/486,321 = 486,321/x
  3. Step 3: Cross multiply
    316,823x = 486,321 × 486,321
  4. Step 4: Simplify right side
    316,823x = 236,508,115,041
  5. Step 5: Solve for x
    x = 236,508,115,041/316,823
  6. Step 6: Final answer
    x = 746,499.20

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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.